Claim covered by local legend (6)
I believe the answer is:
allege
'claim' is the definition.
(to allege something is to make a claim)
'covered by local legend' is the wordplay.
'covered by' says the answer is hidden in the clue.
'ALLEGE' is hidden within 'local legend'.
(Other definitions for allege that I've seen before include "Declare or accuse without proof" , "State as a fact without proof" , "Declare without absolute proof" , "Make accusation without proof" , "Aver (without proof)" .)