Representatives in places about to be eliminated (7)
I believe the answer is:
members
'representatives' is the definition.
(eg Members of Parliament)
'places about to be eliminated' is the wordplay.
'places' becomes 'remembers' (to place something is to remember or recognise it).
'about' becomes 're' (common abbreviation for 'with reference to').
'to be eliminated' indicates named letters should be taken away.
'remembers' with 're' removed is 'MEMBERS'.
'in' acts as a link.
(Other definitions for members that I've seen before include "Parliamentarians" , "body..." , "Limbs" , "People belonging" , "Joiners" .)