Detective Inspector North's racket? (3)
I believe the answer is:
'racket?' is the definition.
(both can mean a loud noise or disturbance)
'detective inspector north's' is the wordplay.
'detective inspector' becomes 'DI'.
'north' becomes 'N' (synonyms).
'di'+'n'='DIN'
(Other definitions for din that I've seen before include "Loud noise, racket" , "Loud harsh hoise" , "'Continuous, unpleasant noise (3)'" , "Row, noise" , "A lot of unpleasant noise" .)