Finished last of pizza, Italian food (5)
I believe the answer is:
pasta
'italian food' is the definition.
(I've seen this before)
'finished last of pizza' is the wordplay.
'finished' becomes 'past'.
'last of' suggests the final letters.
The last letter of 'pizza' is 'a'.
'past'+'a'='PASTA'
(Other definitions for pasta that I've seen before include "Spaghetti, ziti, fusilli, for example" , "Eg, tagliatelle" , "Fusilli, penne etc" , "Dried flour paste used in cooking Italian dishes" , "dish from Italy" .)