Match ends, Chelsea 1, Liverpool 2.
Liverpool continued to gather impressive momentum in the Premier League as they inflicted Antonio Conte's first loss as Chelsea manager with a deserved victory at Stamford Bridge to move into the top four.
Reds boss Jurgen Klopp was a winner at Stamford Bridge last season - and this was three points Liverpool fully merited to add to a triumph at Arsenal on the opening weekend of the season and a draw at Tottenham.
Liverpool were keen to build on the 4-1 thrashing of champions Leicester City at Anfield last weekend and they over-ran Chelsea to take control by half-time through Dejan Lovren's close range finish and captain Jordan Henderson's spectacular 25-yard strike.
Chelsea, with £32m defender David Luiz making his first appearance since returning to Chelsea from Paris St-Germain as replacement for the injured John Terry, pulled one back through Diego Costa but their laboured performance deserved nothing from this game.
- Klopp wins battle of the 'A-listers' - but how far can Liverpool go?
- Relive Liverpool's win at Chelsea
Klopp's Liverpool taking shape
Klopp's Liverpool is looking more like the sort of team their manager wants with every passing week as they produced another impressive performance.
Liverpool may yet remain on the margins of the title race but victories such as this, added to the excellent 4-3 win at Arsenal and a fine display in the 1-1 draw at Tottenham, will certainly see those at Anfield exuding quiet confidence.
Klopp was without influential forward Roberto Firmino here, ruled out with a groin problem, a severe blow as the Brazilian's work-rate, tactical awareness and goal threat has made him a vital component in Liverpool's success against the likes of Chelsea, Manchester City and Manchester United since the German's arrival.
It made little difference as Liverpool's prodigious work ethic, a staple of Klopp's style, pressured Chelsea into submission and gave them a constant goal threat as well as a defensive shield.
Two of Liverpool's big summer buys made an impact, with Sadio Mane giving them real pace and menace and Georginio Wijnaldum offering a steadying presence in midfield.
Meanwhile, the reliable James Milner illustrated once again why Klopp was not prepared to answer demands to rush into the market and buy a left-back.
Liverpool are still a work in progress and will still have questions to answer when they produce performances such as that which saw them lose at Burnley earlier this season - but once again they showed at Stamford Bridge that the charismatic Klopp is taking them in the right direction.
Chelsea still rely on Terry
Chelsea's decision to agree a new one-year contract with captain Terry may have been belated, after a spell when it looked like his Stamford Bridge career was coming to a close.
On this evidence, however, it looks a very wise move because the 35-year-old centre-back still has a key role to play as Chelsea make their latest managerial transition into the Conte era.
Chelsea, without Terry, lacked direction and leadership in defence on Friday, even though they were able to re-introduce the returning Luiz as Terry sat this one out through injury.
The ex-England captain is not only still a formidable defender but he is the consummate organiser and would surely have lessened the chances of the shambolic marking that left Lovren in splendid isolation to turn in Liverpool's opening goal.
Conte's reality check
Conte's animated touchline body language screamed out frustration as Chelsea struggled to exert any sustained pressure on Liverpool and were far too ponderous for long periods.
He made a good start at Chelsea after leaving his job as Italy coach, albeit needing late winners from Costa against West Ham United and Watford before a convincing win against Burnley.
The size of his task was hinted at by the way they lost control of a game they were winning before drawing at Swansea City, and here they were second best throughout.
As stated before, they miss Terry and experienced figures such as Nemanja Matic and Branislav Ivanovic are starting to look frayed around the edges.
Costa cannot dig them out of trouble every time and there was even a question mark over Conte's approach, taking 83 minutes to make a change when it was clear something needed to be done.
When it came, it was a triple substitution as Victor Moses, Pedro and Cesc Fabregas came on for Willian, Oscar and Matic, although there was widespread surprise that £33m striker Michy Batshuayi was not given an opportunity.
Conte, perhaps understandably, is learning the ways of the Premier League. And there is plenty for him to learn at Chelsea.
Chelsea manager Antonio Conte:
"We conceded the goals in a strange way. They took the free-kick quickly for the first goal and it was a great shot from a long distance for the second but if we are in the right position he must not receive the ball unmarked.
"When you want to think like a great team you must pay attention in every moment.
"We played with good intensity and anger in the second half. We scored a goal and could have scored another with Diego Costa. We played a good second half.
"I must work more to improve my players. Defeats are never good. We know this, we must work and keep our concentration."
Liverpool manager Jurgen Klopp:
"It was a satisfying win of course. From the first second we had unbelievably good movement. We were quick in mind. We did really well. We deserved the lead at half-time.
"We have to learn how to manage the game plan. So often this season Chelsea scored in the last few seconds with a direct style. But I can't remember too many chances from them. We had a few moments where we weren't so good but that's normal against a good team.
"We played football like hell. It was really nice to watch. In the second half it was a bit more difficult. After their goal, we managed it well."
Liverpool goalscorer Dejan Lovren:
"It is always a tough game here but I thought we did brilliantly. In the first half, I thought it was our best football of the season.
"It's always good to score but the most important thing is the three points. The spirit is perfect so we just need to keep working."
Man of the match - Dejan Lovren (Liverpool)
Both teams are back in action on Tuesday, when they play in EFL Cup third-round ties.
Chelsea go to Premier League champions Leicester, while Liverpool visit Championship side Derby County.
Stats of the day
- Liverpool have won five of their last nine Premier League visits to Stamford Bridge, having won only one of their first 16 trips there.
- Antonio Conte lost his first home league game as a manager since January 2013, ending a run of 30 games without defeat.
- Since Jurgen Klopp took charge of his first game, Liverpool have scored 15 Premier League goals from outside the box, five more than any other side in that time.
- Diego Costa has been involved in at least one goal in every game he's played so far in the Premier League this season (five goals, one assist).
- Only Sergio Aguero (21) has had a hand in more Premier League goals in 2016 than Costa (18, 12 goals and six assists).
- Dejan Lovren ended a run of 64 games without a Premier League goal, last netting for Southampton against Sunderland in January 2014.
- Chelsea have not kept a clean sheet in any of their last seven home Premier League games against Liverpool, last doing so in October 2009.
- The Blues were two goals behind in a Premier League game for the first time since December 2015 v Leicester, Jose Mourinho's final match in charge.
- Nemanja Matic has assisted in each of his last two Premier League games at Stamford Bridge - as many as he had managed in his previous 38 home appearances before this run.
- Liverpool are without a clean sheet in nine away Premier League games, their longest run since May 2005.
- Jurgen Klopp is the first manager to win his opening two visits to Stamford Bridge in the Premier League since Arsene Wenger, and only the fourth manager overall to do so along with Mike Walker and Harry Redknapp.
- 30David Luiz
- 21MaticSubstituted forFàbregasat 84'minutes
- 22WillianBooked at 45minsSubstituted forMosesat 84'minutes
- 8OscarSubstituted forPedroat 84'minutes
- 10E Hazard
- 19Diego Costa
- 5WijnaldumSubstituted forStewartat 90'minutes
- 15SturridgeSubstituted forOrigiat 57'minutes
- 10CoutinhoSubstituted forLeivaat 82'minutesBooked at 88mins
- Martin Atkinson
- Shots on Target
Second Half ends, Chelsea 1, Liverpool 2.
Offside, Chelsea. David Luiz tries a through ball, but Gary Cahill is caught offside.
Corner, Chelsea. Conceded by Adam Lallana.
Diego Costa (Chelsea) wins a free kick in the attacking half.
Foul by Kevin Stewart (Liverpool).
Substitution, Liverpool. Kevin Stewart replaces Georginio Wijnaldum.
Offside, Chelsea. David Luiz tries a through ball, but Pedro is caught offside.
Attempt blocked. Cesc Fàbregas (Chelsea) right footed shot from outside the box is blocked.
Lucas Leiva (Liverpool) is shown the yellow card for a bad foul.
Eden Hazard (Chelsea) wins a free kick in the attacking half.
Foul by Lucas Leiva (Liverpool).
Offside, Liverpool. James Milner tries a through ball, but Georginio Wijnaldum is caught offside.
Substitution, Chelsea. Pedro replaces Oscar.
Substitution, Chelsea. Cesc Fàbregas replaces Nemanja Matic.
Substitution, Chelsea. Victor Moses replaces Willian.
Substitution, Liverpool. Lucas Leiva replaces Philippe Coutinho.
Corner, Liverpool. Conceded by David Luiz.
Attempt blocked. Sadio Mané (Liverpool) right footed shot from the right side of the box is blocked. Assisted by Jordan Henderson.
Attempt saved. Divock Origi (Liverpool) header from the right side of the six yard box is saved in the bottom right corner.