Greek character namely on date drunk wine (8)
I believe the answer is:
muscadet
'wine' is the definition.
(Muscadet is an example)
'greek character namely on date drunk' is the wordplay.
'greek character' becomes 'mu' (letter from the Greek alphabet).
'namely' becomes 'sc' (I've seen this in other clues).
'on' means one lot of letters goes inside another.
'drunk' indicates an anagram.
'date' is an anagram of 'adet'.
'sc' put inside 'adet' is 'scadet'.
'mu'+'scadet'='MUSCADET'
(Other definitions for muscadet that I've seen before include "White wine variety" , "Dry French white wine" , "drink" , "Dry white wine from the Loire valley" , "one of the Whites" .)