I know the title is a bit vague :\
I remember reading a book with a cat that in the middle of talking would stop to groom himself. I think he talked mostly in riddles and ambiguously (As would befit a cat).
I more specifically remember an instance where a human (I think it was an older woman) was annoyed with the cat since the cat had said a sentence and then wouldn't talk until he brushed all his fur back and back again.
This has been driving me crazy for quite a while...