Web-hosted vote's succeeding (4)
I believe the answer is:
next
'succeeding' is the definition.
('next' can be similar in meaning to 'succeeding')
'web-hosted vote's' is the wordplay.
'web' becomes 'net' ('net' can be a synonym of 'web').
'hosted' means one lot of letters goes inside another.
'vote' becomes 'x' (how votes are marked).
'net' placed around 'x' is 'NEXT'.
(Other definitions for next that I've seen before include "Immediately afterwards" , "Immediately following in time or order" , "Proximate" , "shop" , "Soonest encountered" .)