Deputy has most of the reputation (5-2)
I believe the answer is:
stand in
'deputy' is the definition.
(I've seen this before)
'most of the reputation' is the wordplay.
'most of' means to remove the last letter.
'the reputation' becomes 'standing' (one's standing is one's reputation or status).
'standing' with its final letter removed is 'STAND-IN'.
'has' is the link.
(Other definitions for stand in that I've seen before include "Deputise; sail close to the shore" , "Representative" , "Sub" , "Vocal pieces" , "cover" .)