Bring us back his cooked dish from Japan (5)
I believe the answer is:
sushi
'dish from japan' is the definition.
'sushi' can be an answer for 'dish' (sushi is a kind of dish). I am not sure about the 'from japan' bit.
'bring us back his cooked' is the wordplay.
I cannot really see how this works, but
'us' is found in the answer.
an anagram of 'his' is 'shi' which is present in the answer.
No letters remain.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for sushi that I've seen before include "Rice and raw fish wrapped in seaweed" , "oriental dish" , "Japanese cuisine" , "Fated" , "rice dishes" .)