Place for those who are no longer represented by mayor — true? Not quite (8)
I believe the answer is:
mortuary
'place for those who are no longer' is the definition.
(place for people are no more)
'represented by mayor true? not quite' is the wordplay.
'represented by' is an anagram indicator.
'not quite' means to remove the last letter (most but not all of the word).
'mayor'+'true'='mayortrue'
'mayortrue' with its final letter taken off is 'mayortru'.
'mayortru' is an anagram of 'MORTUARY'.
(Other definitions for mortuary that I've seen before include "Morgue" , "departed here?" , "Temporary resting place" , "Building for corpses prior to burial or cremation" , "Place for stiff" .)