Shuts up and gets on (6)
I believe the answer is:
boards
'gets on' is the definition.
('board' can be a synonym of 'get on')
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for boards that I've seen before include "Tread them in the theatre" , "Goes on" , "sections of timber" , "Gets on (a ship)" , "Adsorb (anag)" .)