Succeeded following redistribution of any dissenting votes (4)
I believe the answer is:
nays
'dissenting votes' is the definition.
(I've seen this in another clue)
'succeeded following redistribution of any' is the wordplay.
'succeeded' becomes 's' (genealogical abbreviation).
'following' means one lot of letters go next to another.
'redistribution of' indicates an anagram (the letters are distributed to different places).
'any' is an anagram of 'nay'.
's' after 'nay' is 'NAYS'.
(Other definitions for nays that I've seen before include "Those that oppose a motion in Parliament" , "Archaic noes, sound like horses" , "Negative committee votes" , "Archaic negatives" , "Denials" .)