Affectations of superiority (4,3,6)
(Other definitions for airs and graces that I've seen before include "affected attitude" , "Pretentious elegance" , "Affectations of a 'lady', perhaps" , "Affectation of social superiority" , "Superior manner" .)
'affectations of superiority' is the definition.
(as in 'putting on airs')
This is all the clue.
(Other definitions for airs that I've seen before include "Broadcasts" , "affected demeanour" , "Tunes and posturings" , "affectation of superiority" , "Arrogance" .)