Humorous bio priest cut and cut (8)
I believe the answer is:
clerihew
'humorous bio' is the definition.
(short and humorous biography in the form of a poem)
'priest cut and cut' is the wordplay.
'priest' becomes 'cleric' (I've seen this before).
'cut' means to remove the last letter.
'and' means one lot of letters go next to another.
'cut' becomes 'hew' (I've seen this before).
'cleric' with its final letter removed is 'cleri'.
'cleri'+'hew'='CLERIHEW'
(Other definitions for clerihew that I've seen before include "E.C.Bentley's verse form" , "Funny lines" , "Bentley's jingle" , "Short comic verse form" , "Short comic verse about famous person" .)