Writer is jealous we hear (6)
I believe the answer is:
greene
'writer' is the definition.
(graham greene)
'jealous we hear' is the wordplay.
'jealous' becomes 'green'.
'we hear' indicates a 'sounds like' (homophone) clue.
'green' sounds like 'GREENE'.
'is' is the link.
(Other definitions for greene that I've seen before include "Graham --, Eng. author" , "Graham -, English author (Brighton Rock)" , "The Quiet American author" , "writer" , "Graham --, British author" .)