Cheese with fine character from Greece (4)
I believe the answer is:
feta
'cheese' is the definition.
(type of cheese)
'fine character from greece' is the wordplay.
I cannot really understand how this works, but
'fine' could be 'f' (abbreviation in pencil classifications) and 'f' is located in the answer.
'character' could be 'eta' (letter of the Greek alphabet) and 'eta' is found in the answer.
This accounts for all the letters.
This explanation may well be incorrect...
'with' acts as a link.
Can you help me to learn more?
(Other definitions for feta that I've seen before include "Goat's or sheep's milk cheese" , "Greek 8 across" , "food there" , "Greek salad cheese" , "10 down cheese" .)