Get on a governing body (5)
I believe the answer is:
board
I believe this clue is a double definition.
'get on' is the first definition.
(eg boarding a train)
'a governing body' is the second definition.
(I've seen this in another clue)
(Other definitions for board that I've seen before include "Get on (ship)" , "Directors' group" , "Plank" , "Collection of directors" , "See 21 Down" .)