Crime is the problem (5)
I believe the answer is:
heist
'crime' is the definition.
(heist is a kind of crime)
'is the problem' is the wordplay.
'problem' indicates an anagram.
'is'+'the'='isthe'
'isthe' with letters rearranged gives 'HEIST'.
(Other definitions for heist that I've seen before include "Armed robbery" , "Robbery, often at gunpoint" , "Armed hold-up (sl.)" , "criminal activity" , "bank job in America?" .)