Greek character leaves wine, being not in favour (4)
I believe the answer is:
anti
'not in favour' is the definition.
(I've seen this before)
'greek character leaves wine' is the wordplay.
I cannot really understand how this works, but
'character' could be 't' and 't' is present in the answer.
The remaining letters 'ani' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...
'being' acts as a link.
(Other definitions for anti that I've seen before include "on the other side" , "Prefix meaning against" , "one opposing?" , "Person opposed" , "Not favouring" .)