Food for mice around central Greenford (5)
I believe the answer is:
mince
'food' is the definition.
(mince is a kind of food)
'mice around central greenford' is the wordplay.
'around' is an insertion indicator.
'central' says to take the centre.
The centre of 'greenford' is 'n'.
'mice' placed around 'n' is 'MINCE'.
'for' is the link.
(Other definitions for mince that I've seen before include "meat that's prepared" , "Grind up (meat)" , "Simper" , "Shredded meat" , "Cut meat into small pieces, or walk affectedly" .)