Bury in the heart of Battersea (5)
I believe the answer is:
inter
'bury' is the definition.
(to inter is to put into the ground)
'in the heart of battersea' is the wordplay.
'the heart of' says to take the centre.
The middle letters of 'battersea' are 'ter'.
'in'+'ter'='INTER'
(Other definitions for inter that I've seen before include "Prefix for between - bury it" , "Prefix meaning in the middle" , "get put down!" , "promoting cessation" , "Milan football team" .)