Greek character not favouring Italian wine (7)
I believe the answer is:
chianti
'italian wine' is the definition.
(I've seen this before)
'greek character not favouring' is the wordplay.
'greek character' becomes 'chi' (letter of the Greek alphabet).
'not favouring' becomes 'anti' (I've seen this before).
'chi'+'anti'='CHIANTI'
(Other definitions for chianti that I've seen before include "Italian wine variety" , "Popular dry red wine of Tuscany" , "Dry red Italian wine" , "I can hit (anag) - alcoholic drink" , "Chain it to popular Italian wine" .)