Getting on with the shutting up of the shop-front (8)
I believe the answer is:
boarding
'getting on' is the definition.
('board' can be a synonym of 'get on')
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for boarding that I've seen before include "Staying at school" , "Living at school" , "Getting on (a train)" , "-- School; -- pass" , "public school arrangement" .)