Hustle drunk detective (6)
I believe the answer is:
sleuth
'detective' is the definition.
(sleuth is a kind of detective)
'hustle drunk' is the wordplay.
'drunk' indicates an anagram.
'hustle' anagrammed gives 'SLEUTH'.
(Other definitions for sleuth that I've seen before include "A detective like Sherlock Holmes" , "Detective who follows a trail" , "Bloodhound" , "Olivier/Caine film" , "Investigator (informal)" .)