Admit to a crime (7)
I believe the answer is:
confess
'admit to a crime' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for confess that I've seen before include "Admit (to crime)" , "Concede" , "Admit (to wrongdoing)" , "Tell a priest one's sins" , "Plead guilty (in order to receive absolution?)" .)