The most common and most likely answer to this crossword clue is the 8 plus 6 letter word PARMESAN CHEESE
I've seen this crossword clue in The Times
P
A
R
M
E
S
A
N
C
H
E
E
S
E
Buddy explains!
The straight part
We know that "Italian food" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case italian food = parmesan cheese.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.