Form of government again for the people (8)
I believe the answer is:
republic
'form of government' is the definition.
(republic is a kind of form of government)
'again for the people' is the wordplay.
'again' becomes 're' (prefix meaning 'again').
'for' is a charade indicator (letters next to each other).
'the people' becomes 'public' (public is a kind of people).
're'+'public'='REPUBLIC'
(Other definitions for republic that I've seen before include "Country with no king" , "Political system of government by the people" , "Type of state" , "Country in which supreme power is held by the people" , "Nation in which the head of state is elected" .)