Rice taken back outside US city to make a cake (6)
I believe the answer is:
eclair
'a cake' is the definition.
(eclair is a type of cake)
'rice taken back outside us city' is the wordplay.
'taken back' says the letters should be written backwards.
'outside' indicates putting letters inside (some letters go outside others).
'us city' becomes 'LA' (Los Angeles).
'rice' written backwards gives 'ecir'.
'ecir' enclosing 'la' is 'ECLAIR'.
'to make' is the link.
(Other definitions for eclair that I've seen before include "Long, individual cake" , "Lacier type of confection" , "A long choux cake" , "A long thin cake with chocolate covering" , "Long (but not long-lasting) cake" .)