Look to leave local area for Italian food (7)
I believe the answer is:
calzone
'for italian food' is the definition.
(type of pizza)
'look to leave local area' is the wordplay.
'look' becomes 'lo' ('lo' is an archaic exclamation meaning 'look!').
'to leave' indicates named letters should be taken away.
'area' becomes 'zone' (zone is a kind of area).
'local' with 'lo' taken out is 'cal'.
'cal'+'zone'='CALZONE'
(Other definitions for calzone that I've seen before include "Folded variety of pizza" , "Pizza dough turnover" , "Type of pizza - clean Oz (anag)" , "Folded type of pizza" , "food in Venice?" .)