No hunter - quite possibly a fugitive (2,3,3)
I believe the answer is:
on the run
'a fugitive' is the definition.
(I've seen this before)
'no hunter quite' is the wordplay.
'no hunter' can be anagrammed to 'ON THE RUN'.
But, I'm not sure how this is indicated.
'possibly' is the link.
Can you help me to learn more?
(Other definitions for on the run that I've seen before include "Fugitive - escaping from arrest" , "Having escaped custody" , "Evading capture" , "No hunter seen in flight from the law" , "Fleeing the police" .)