Vote in America overturned twice following intense anger (8)
I believe the answer is:
suffrage
'vote' is the definition.
(the right to vote)
'america overturned twice following intense anger' is the wordplay.
'america' becomes 'US' (United States).
'overturned' says the letters should be written backwards.
'twice' shows that letters should be duplicated.
'following' becomes 'f' (used when citing page numbers etc).
'intense anger' becomes 'rage' (I've seen this before).
'us' backwards is 'su'.
'f' doubled is 'ff'.
'su'+'ff'+'rage'='SUFFRAGE'
'in' acts as a link.
(Other definitions for suffrage that I've seen before include "The right to vote in political elections" , "The right to vote, as won by women" .)