Give everyone a share of the vote (5)
I believe the answer is:
allot
'give' is the definition.
(allotting is a kind of giving)
'everyone a share of the vote' is the wordplay.
'everyone' becomes 'all' (I've seen this before).
'a share of the vote' becomes 'ot' (I can't explain this - if you can you should believe this answer much more).
'all'+'ot'='ALLOT'
Can you help me to learn more?
(Other definitions for allot that I've seen before include "Apportion, share" , "Dish out" , "Assign (to someone)" , "Hand out" , "Dispense or distribute" .)