Convince Edward, a US representative, to make a comeback (8)
I believe the answer is:
persuade
'convince' is the definition.
(I've seen this before)
'edward a us representative to make a comeback' is the wordplay.
'edward' becomes 'Ed' (short for Edward).
'representative' becomes 'rep' (rep is a kind of representative).
'to make a comeback' says the letters should be written backwards.
'ed'+'a'+'us'+'rep'='edausrep'
'edausrep' reversed gives 'PERSUADE'.
(Other definitions for persuade that I've seen before include "Convince by reasoning" , "'Coax, inveigle (8)'" , "Bring round" , "Induce or convince to do something" , "Cause (someone) to believe" .)