Food is popular: stick around (7)
I believe the answer is:
cuisine
'food' is the definition.
(cuisine is a kind of food)
'is popular stick around' is the wordplay.
'popular' becomes 'in' ('in' can mean trendy).
'stick' becomes 'cue' (I've seen this before).
'around' is an insertion indicator.
'is'+'in'='isin'
'isin' placed within 'cue' is 'CUISINE'.
(Other definitions for cuisine that I've seen before include "The food" , "Culinary art" , "Cooking style characteristic of a place" , "French cooking?" , "(Regional) style of cooking" .)