Finished a dish from Italy (5)
I believe the answer is:
pasta
'dish from italy' is the definition.
(I've seen this before)
'finished a' is the wordplay.
'finished' becomes 'past' (I've seen this in another clue).
'past'+'a'='PASTA'
(Other definitions for pasta that I've seen before include "dish high in carbohydrates" , "Fusilli, penne etc" , "Macaroni, for example" , "Basis for serving" , "dish from Italy" .)