Collocations for wit - noun

great
quick, ready
acerbic, barbed, biting, caustic, dry, mordant, rapier, razor-sharp, sarcastic, sardonic, sharp, sly, wicked, wry
gentle, self-deprecating
dazzling (esp. BrE), sparkling
verbal

have
He has plenty of wit and imagination.
He had a dry wit. (BrE)

wit and wisdom
a book full of the wit and wisdom of his 30 years in politics

native
She had to use all her native wit to convince the police.

have
I hope he has the wit to take the key with him.

use

beyond the wit of man (= impossible)
It should not be beyond the wit of man to resolve this dispute.

use
have (esp. AmE)
I hope you had the wits to apologize.

gather, recover
She couldn't seem to gather her wits and tell us what had happened.

sharpen
match
The game allows you to match wits with a computer criminal.

a battle of wits
The strike developed into a battle of wits between management and workers.

have your wits about you, keep your wits about you
They do tough interviews, so you'll need to have your wits about you.

pit your wits against sb (esp. BrE)
Celebrity teams pit their wits against each other in this lively quiz show.

scare the wits out of sb
The latest news has scared the wits out of investors.
I was scared out of my wits!

wits' end
I'm at my wits' end trying to cope with his moods.