I've read the Times reports (online)
One day they say: Nigel Farage on verge of backing second Brexit vote to stop Remainers 'whining'
The former party leader, who is still an MEP and leads the Ukip bloc in the European parliament, said today that he was on the brink of backing another vote to 'kill off' the Remain campaign for a generation.

He said that Europhile campaigners such as Tony Blair, Sir Nick Clegg and the Labour peer Lord Adonis would not stop 'whinging and whining' throughout Brexit negotiations and indicated he was coming around to the idea that a second vote would settle the issue.

Next day they say: Nigel Farage climbs down after backing second Brexit referendum
The former Ukip leader, who leads the party's bloc in the European parliament, had said he was close to supporting another vote to 'kill off' the Remain campaign for a generation.

However, hours after suggesting that a second vote would put an end to 'whinging and whining' by opponents of Brexit, he stressed: "I do not want a second referendum."

So first he said that he was on the brink of supporting a second referendum (a different matter from proposing one).
Then he clarified that he does not want a referendum, but that Brexit supporters need to be ready because it may still be forced on us anyway.

Nowhere (that I can see) does the Times claim, as you said: Nigel the Farrago has done a screeching U-turn and is now advocating a second Brexit referendum