Husband invested in food store in Asian city (5)
I believe the answer is:
delhi
'asian city' is the definition.
(New Delhi)
'husband invested in food store' is the wordplay.
'husband' becomes 'h'.
'invested in' means one lot of letters goes inside another.
'food store' becomes 'deli' (I've seen this before).
'h' put inside 'deli' is 'DELHI'.
'in' is the link.
(Other definitions for delhi that I've seen before include "Ancient city" , "Asian city" , "Plumbing ring" , "It's also new in India" , "Capital at one time" .)