Non-believer at robbery (7)
I believe the answer is:
atheist
'non-believer' is the definition.
(someone who doesn't believe in God)
'at robbery' is the wordplay.
'robbery' becomes 'heist' (heist is a kind of robbery).
'at'+'heist'='ATHEIST'
(Other definitions for atheist that I've seen before include "Person who believes there is no God" , "Unbeliever" , "One who does not believe in the existence of a god" , "One doesn't believe" , "God denier" .)