Country on the up? Why pulling out shows arrogance (4)
I believe the answer is:
airs
'arrogance' is the definition.
(to 'put on airs' is to behave arrogantly)
I can't explain the remainder of the clue.
(Other definitions for airs that I've seen before include "Tunes and affectations" , "Haughty affectation" , "affectation of superiority" , "feelings" , "Arrogance" .)