Partly hear a cheeky complaint (7)
I believe the answer is:
earache
'complaint' is the definition.
(a type of medical complaint)
'partly hear a cheeky' is the wordplay.
'partly' indicates a hidden word (part of the clue is used).
'EARACHE' is hidden within 'hear a cheeky'.
(Other definitions for earache that I've seen before include "otitis" , "Each era (anag)" , "a problem for some listeners" , "minor complaint" , "complaint to The Listener" .)