Vote for point supported by half of speeches (5)
I believe the answer is:
elect
'vote for' is the definition.
(vote for in an election)
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for elect that I've seen before include "Choose; singled out" , "Return" , "Put in power by voting" , "Opt for; chosen" , "Preferred" .)