Village, once a part of Twickenham (4)
I believe the answer is:
wick
'village' is the definition.
(thesaurus)
'a part of twickenham' is the wordplay.
'a part of' says the answer is hidden in the clue.
'WICK' can be found hidden inside 'twickenham'.
'once' is the link.
(Other definitions for wick that I've seen before include "that burns down?" , "Old hamlet" , "light fibre" , "See 1" , "Length of thread in centre of candle" .)