Food that’s brought up, say (5)
I believe the answer is:
bread
'food' is the definition.
(bread is a kind of food)
'brought up say' is the wordplay.
'brought up' becomes 'bred' (to breed is to bring up or raise).
'say' indicates a 'sounds like' (homophone) clue.
'bred' sounds like 'BREAD'.
'that's' is the link.
(Other definitions for bread that I've seen before include "Baked food; money" , "Money (inf)" , "Dosh - a bloomer, perhaps?" , "Foodstuff; money" , "Loaf; money" .)