Inspector listened to suggestions with his drink? (8)
I believe the answer is:
clouseau
'inspector' is the definition.
(I've seen this before)
'listened to suggestions with his drink?' is the wordplay.
I cannot quite see how this works, but
'drink?' could be 'use' (drinking is a kind of using) and 'use' is found in the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for clouseau that I've seen before include "Peter Sellers' Pink Panther inspector" , "useless detective" , "I'm no match for Morse" .)