Recipe with mayonnaise — very little in that Italian food (7)
I believe the answer is:
ravioli
'italian food' is the definition.
(I've seen this before)
'recipe with mayonnaise very little in' is the wordplay.
'recipe' becomes 'r' (abbreviation**).
'with' is a charade indicator (letters next to each other).
'mayonnaise' becomes 'aioli' (mayonnaise seasoned with garlic).
'very little' becomes 'v' (abbreviation or little form for 'very').
'in' indicates putting letters inside.
'aioli' enclosing 'v' is 'avioli'.
'r'+'avioli'='RAVIOLI'
'that' is the link.
(Other definitions for ravioli that I've seen before include "Pasta resembling pillowcases" , "Italian pillow-shaped pasta" , "Small stuffed pasta" , "which Verdi may have put away" , "(Meat, cheese, etc filled) pasta cases" .)