Remain to offer support (4)
I believe the answer is:
stay
I believe this clue is a double definition.
'remain' is the first definition.
(synonyms)
'support' is the second definition.
(stay is a kind of support)
'to offer' is the link.
(Other definitions for stay that I've seen before include "Remain; guy" , "guy to > put off" , "Supporting rope or wire" , "Visit (for the night)" , "Remain; prop" .)