Live on edge nearby (6)
I believe the answer is:
beside
'nearby' is the definition.
(thesaurus)
'live on edge' is the wordplay.
'live' becomes 'be' (synonyms).
'on' is a charade indicator (letters next to each other).
'edge' becomes 'side' (edge can mean the side of something).
'be'+'side'='BESIDE'
(Other definitions for beside that I've seen before include "Very near to" , "Neighbours" , "Next to - compared with" , "Adjacent to" , "Next door to" .)