Building for bran, possibly (4)
I believe the answer is:
barn
'building' is the definition.
(barn is a kind of building)
'bran possibly' is the wordplay.
'possibly' is an anagram indicator.
'bran' with letters rearranged gives 'BARN'.
'for' is the link.
(Other definitions for barn that I've seen before include "Outlying farm building" , "Bran stored in farm shed" , "Big building" , "Farm store" , "Type of dance or owl" .)