Crime, but not of dodgy dealer (5)
I believe the answer is:
fence
'dodgy dealer' is the definition.
(trader of stolen goods)
'crime but not of' is the wordplay.
'crime' becomes 'offence' (offence is a kind of crime).
'but not' is a deletion indicator.
'offence' with 'of' taken away is 'FENCE'.
(Other definitions for fence that I've seen before include "Obstacle to clear, in steeple-chasing" , "Stolen goods dealer" , "Railing" , "Thief's dealer" , "Barrier; deal in stolen goods" .)