wit, whit

Wit or wit means cleverness or humor, or a clever or humorous person--
He has a good sense of humor and a fine wit.
He fancied himself a wit, but his jokes were rarely funny.

Whit or whit ( rhymes with wit ) means an iota or small particle--
This does not look a whit better after all that work.
Do I mind? Not a whit.

Now that you know that, you can say--
"His so-called wit had not a whit of cleverness in it."

Note--"wits" may mean more than one clever person--
They considered themselves wits, although they were not amusing.
"Wits" more commonly means intelligence or mental resources--
Having no family, he was forced to live by his wits.
Note # 2--"witan" ( one word ) means the members of the "witenagemot", the parliament or council of Anglo-Saxon England--
The witan was made up of the aldermen, knights, bishops, and the king.
Not to be confused with "wit an" ( two words )--
He considered his wit an asset.