British English has many words for a quick tongue, and one phrase for using too many words.
Dry: Funny in a quiet, serious-sounding way. “She has a very dry sense of humor” is praise.
Deadpan: Said with a straight face, so that the joke is easy to miss.
Quick-witted: Able to think of a clever reply at once.
A put-down: A short remark that makes someone look foolish.
Droll: Amusing in a quiet or odd way.
To labor the point: To keep explaining something that was already clear.