Run back into tent for milk product (6)
I believe the answer is:
yogurt
'milk product' is the definition.
(I know that yogurt is a type of milk product)
'run back into tent' is the wordplay.
'run' becomes 'go' (both can mean to function or work).
'back' is a reversal indicator.
'into' indicates putting letters inside.
'tent' becomes 'yurt' (I've seen this before).
'go' written backwards gives 'og'.
'og' inserted into 'yurt' is 'YOGURT'.
'for' is the link.
(Other definitions for yogurt that I've seen before include "Food made from milk thickened with bacteria" , "healthy breakfast" , "Cultural fare" , "Semi-liquid dairy product" , "Dairy produce" .)