Hebrew judge fires on French author (4)
I believe the answer is:
gide
'french author' is the definition.
(Andre Gide)
'hebrew judge fires on' is the wordplay.
'hebrew judge' becomes 'gideon' (I've seen this before).
'fires' indicates named letters should be taken away.
'gideon' with 'on' taken away is 'GIDE'.
(Other definitions for gide that I've seen before include "Andre -, French novelist" , "Andre --, French writer" , "Andre -, Fr. novelist" , "Andre -, C Nineteen-twenty French author" .)