at a great lick BrE informal
at a fair lick BrE informal

Helgi counted them; there were thirty at least, he said, and they were cutting along at a great lick, headed straight at us.

He was traveling away from it at a fair lick.

They were going at a fair lick; in fact it was bloody terrifying.

Sid grinned and said: 'You came up that last bit at a fair lick.'

Its lifting spells had worn so thin that it wouldn't even begin to operate until it was already moving at a fair lick.

He was coming at a fair lick on the amber and I saw he would be on the intersection when it was red.

While is often used in the sense of until (e.g. unless we go at a fair lick, we'll not be home while seven.)

You 'it acrorst the line o' the ball, I grant yer, but it come at a fair lick, one bounce.'

We left well within the two hours allocated to us, and at a fair lick, but grudgingly admiring of a restaurant every bit as bold and brassy as near namesake Zsa Zsa Gabor.