Goat denied grain comes to island (5)
I believe the answer is:
capri
'island' is the definition.
(Italian island)
'goat denied grain' is the wordplay.
'goat' becomes 'capricorn' (the goat in the zodiac).
'denied' suggests deleting specific letters (the word is denied some of its letters).
'grain' becomes 'corn' (corn is a kind of grain).
'capricorn' with 'corn' removed is 'CAPRI'.
'comes to' acts as a link.
(Other definitions for capri that I've seen before include "Old Ford model - Italian island" , "Location for holiday" , "Italian resort island, once home to Gracie Fields" , "Neapolitan isle" , "Tourist destination" .)