Live on a range (4)
I believe the answer is:
area
'range' is the definition.
(thesaurus)
'live on a' is the wordplay.
'live' becomes 'are' (both can mean exist).
'on' is a charade indicator (letters next to each other).
'are'+'a'='AREA'
(Other definitions for area that I've seen before include "District; locale" , "Field -- expanse" , "'Tract, region (4)'" , "Locality" , "Part of a building, city etc" .)