Part of Chislehurst you can't walk away from (4)
I believe the answer is:
isle
'you can't walk away from' is the definition.
(I've seen this before)
'part of chislehurst' is the wordplay.
'part of' indicates the answer is hidden within the clue.
'ISLE' is hidden within 'chislehurst'.
(Other definitions for isle that I've seen before include "Fair one is in shipping bulletin" , "Skye, for instance" , "Skye or Capri?" , "Prince Edward perhaps" , "small piece of land" .)