Food brought back from Edinburgh (4)
I believe the answer is:
grub
'food' is the definition.
(grub can informally mean food)
'back from edinburgh' is the wordplay.
'back' shows that the letters should be reversed in order.
'from' says the answer is hidden in the clue.
'burg' is hidden within 'edinburgh'.
'burg' back-to-front is 'GRUB'.
'brought' is the link.
(Other definitions for grub that I've seen before include "Caterpillar - food" , "Slang food for worm-like larva" , "Dig (up); hack writers' Street" , "Beetle larva" , "Gentle, food" .)