Weather warnings have been lifted after the storm caused by the remnants of Ophelia moved away from the UK.
Some 50,000 UK homes lost power during the storm - mainly in Northern Ireland - but most have been reconnected.
However, in the Republic of Ireland, where three people died in the storm on Monday, about 170,000 customers are still without power. It could take days for all their supplies to be restored.
Some 69,000 people are also without water in Ireland.
Households in the worst affected areas have been asked to conserve water.
Father-of-two Fintan Goss, 33, was killed near Ravensdale, County Louth, when a car he was in was struck by a tree.
Clare O'Neill, 58, died when a tree fell on her car in strong winds near Aglish Village in County Waterford.
Michael Pyke, 31, died in an incident when he was clearing a fallen tree with a chainsaw in County Tipperary.
In Northern Ireland, flights and ferries were cancelled as a result of the storm, and many roads are still closed due to fallen trees.
More than 400 incidents of weather-related damage in the country have left people without electricity - mainly in Counties Down, Armagh and Antrim. About 1,800 have yet to be reconnected.
Schools in Northern Ireland were closed for two days but are due to reopen on Wednesday.
In Scotland, a clear-up is under way after roofs were torn off and trees brought down overnight, causing disruption to some rail services.
In Glasgow, part of a derelict block of flats already earmarked for partial demolition collapsed overnight, and a Scouts hall roof was blown off in Dumfries and Galloway as the region took the brunt of winds up to 77mph (123km/h).
In south-west Scotland, 600 homes were without power on Tuesday afternoon.
Some train services in northern England have been disrupted as a result of trees falling across railway lines, including on the line between Halifax and Bradford Interchange.
More than 130 trees were cleared from roads on the Isle of Man.
The Irish Republic's Electricity Supply Board said help from Northern Ireland and the rest of the UK was expected to be drafted in on Wednesday to help restore power.
Crews are already working to fix power lines but officials have warned that repairs will take several days, and up to 10 in the worst-hit areas.
The Health Service Executive in the country said there had been a significant impact on health services.
And it warned of disruption in the "coming days", with some cancellations and delays expected to appointments and discharges from hospital.
Strong winds of up to 70mph (112km/h) wreaked havoc in Cumbria on Monday night, damaging the roof of Barrow AFC's stadium and forcing police to close roads in the town.
Cumbria Police said they had reports of roofs and debris on the roads and overhead cables coming down - and it urged people to make only essential travel.
Ophelia was not only responsible for stormy weather - it also drew tropical air and dust from the Sahara, causing a reddish sky and red-looking sun throughout parts of the UK on Monday.
The charity Asthma UK warned the phenomenon could trigger "potentially fatal asthma attacks" and advised at the time that severe sufferers should stay indoors.
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