Fatter? One's cut out food here (6)
I believe the answer is:
larder
'food here' is the definition.
(somewhere where food is kept)
'fatter? one's cut' is the wordplay.
'fatter?' becomes 'lardier' (lardy can informally mean fat).
'one' becomes 'i' (Roman numeral).
'cut' indicates named letters should be taken away.
'lardier' with 'i' taken out is 'LARDER'.
'out' is the link.
(Other definitions for larder that I've seen before include "Stock of provisions" , "Place where food is kept" , "Food store" , "Small room for storing food" , "Cupboard or small room for food" .)