[n] a witty satiric verse containing two rhymed couplets and mentioning a famous person
A Clerihew (or clerihew) is a very specific kind of short humorous verse, typically with the following properties: It is biographical and usually whimsical, showing the subject from an unusual point of view; but it is hardly ever satirical, abusive or obscene; It has four lines of irregular length (for comic effect); The first line consists solely (or almost solely) of a well-known person's name.
Sir Humphrey Davy
He lived in the odium
Of having discovered sodium.