Pasta dish produced by the French – long story about name (7)
I believe the answer is:
lasagna
'pasta dish' is the definition.
(dish of lasagna pasta)
'the french long story about name' is the wordplay.
'the french' becomes 'la' ('the' in French).
'long story' becomes 'saga' (a saga is a long and complicated story).
'about' means one lot of letters goes inside another.
'name' becomes 'n' (common abbreviation e.g. on forms).
'saga' going around 'n' is 'sagna'.
'la'+'sagna'='LASAGNA'
'produced by' is the link.
(Other definitions for lasagna that I've seen before include "Baked pasta dish" , "Italian dish" , "pasta's provided" , "Italian cooking" , "Italian food" .)