Cheese is fine to get gobbled up (4)
I believe the answer is:
'cheese' is the definition.
(I've seen this in other clues)
'fine to get gobbled up' is the wordplay.
'fine' becomes 'f' (abbreviation).
'to get' is a charade indicator (letters next to each other).
'gobbled up' becomes 'eta' (I can't explain this - if you can you should believe this answer much more).
'is' acts as a link.
Can you help me to learn more?
(Other definitions for feta that I've seen before include "10 down cheese", "Goat's or sheep's milk cheese", "Greek sheep or goats' cheese", "food there", "Eastern Mediterranean cheese".)