The sound of noisy badinage (3)
I believe the answer is:
din
'the sound' is the definition.
(din is a kind of sound)
'of noisy badinage' is the wordplay.
'of' indicates a hidden word.
'DIN' is hidden in the letters of 'noisy badinage'.
(Other definitions for din that I've seen before include "Loud noise, racket" , "Loud harsh hoise" , "A lot of unpleasant noise" , "Distracting noise" , "'Continuous, unpleasant noise (3)'" .)