Vote to have leader dropped sailors support (7)
I believe the answer is:
lectern
'support' is the definition.
(support or stand for someone giving a speech)
'vote to have leader dropped sailors' is the wordplay.
I cannot really see how this works, but
'leader' could be 'e' (I've seen this in other clues) and 'e' is found in the answer.
'sailors' could be 'rn' (abbreviation for Royal Navy) and 'rn' is present in the answer.
This explanation may well be incorrect...
(Other definitions for lectern that I've seen before include "Slanted reading desk" , "Church reading-desk" , "Stand with sloping top to hold reading material" , "Reader's stand" , "stand in church" .)