French style of cooking (7)
I believe the answer is:
cuisine
This might be a double definition.
'french style' is the first definition.
'cuisine' can be an answer for 'style' (I have seen 'Style of cooking ' mean 'cuisine' so perhaps 'style' could also mean 'cuisine'). I'm unsure of the 'french' bit.
'cooking' is the second definition.
(eg French cuisine is French cooking)
'of' is the link.
Can you help me to learn more?
(Other definitions for cuisine that I've seen before include "It can be French, Italian or Spanish in a restaurant and tasty" , "Culinary art" , "Cooking style characteristic of a place" , "Style of cookery" , "(Regional) style of cooking" .)