Burst -- an apt term for flat (9)
I believe the answer is:
apartment
'flat' is the definition.
(I know that flat can be written as apartment)
'burst an apt term' is the wordplay.
'burst' is an anagram indicator.
'an'+'apt'+'term'='anaptterm'
'anaptterm' is an anagram of 'APARTMENT'.
'for' is the link.
(Other definitions for apartment that I've seen before include "property" , "place to live" , "Set of rooms or American flat" , "Flat (mainly US)" , "pad" .)