Give name to scent — it lessens, just a bit (7)
I believe the answer is:
entitle
'give name to' is the definition.
(I've seen this before)
'scent it lessens just a bit' is the wordplay.
'a bit' indicates a hidden word (the answer is formed by a bit of the clue).
'ENTITLE' is hidden in the letters of 'scent it lessens just'.
(Other definitions for entitle that I've seen before include "Licence" , "Qualify, empower" , "Style; give right to" , "confer rank" , "Give a right or authority to" .)