Getting on at this school? (8)
I believe the answer is:
boarding
I believe this is a double definition.
'getting on' is the first definition.
('board' can be a synonym of 'get on')
'this school?' is the second definition.
(boarding school is a kind of school)
'at' is the link.
(Other definitions for boarding that I've seen before include "-- School; -- pass" , "Staying at school" , "public school arrangement" , "Embarkation" , "Getting on (a train)" .)