Puzzle producing what sounds like a bad-tempered sign of approval (8)
I believe the answer is:
acrostic
'puzzle' is the definition.
(I've seen this before)
I can't explain the rest of the clue.
(Other definitions for acrostic that I've seen before include "Verse where certain letters in each line spell out a word or phrase" , "Form of word puzzle" , "Word puzzle using first letters" , "Puzzle involving leading characters" , "Legal document" .)