Imported by Mykonos, healthy food (4)
I believe the answer is:
nosh
'food' is the definition.
(nosh is a kind of food)
'imported by mykonos healthy' is the wordplay.
'imported by' indicates the answer is hidden within the clue.
'NOSH' is hidden within 'mykonos healthy'.
(Other definitions for nosh that I've seen before include "cuisine" , "Eats" , "(Eat) a snack" , "Food (coll)" , "Scoff" .)