Part of the Caucasus highlighting Asian cuisine (5)
I believe the answer is:
sushi
'cuisine' is the definition.
(I have seen 'Japanese cuisine ' mean 'sushi' so perhaps 'cuisine' could also mean 'sushi')
'part of the caucasus highlighting asian' is the wordplay.
'part of' indicates a hidden word.
'SUSHI' can be found hidden inside 'caucasus highlighting asian'.
(Other definitions for sushi that I've seen before include "Japanese cold rice dish" , "'Dish of rice, vegetables and raw fish (5)'" , "Oriental food" , "Asian dish" , "fare from Japan" .)