Senior's outraged? Not half! (4)
I believe the answer is:
aged
'senior's' is the definition.
('aged' can be a synonym of 'senior')
'outraged? not half' is the wordplay.
'not half' suggests halving the letters.
'outraged' halved is 'AGED'.
(Other definitions for aged that I've seen before include "Elderly" , "Matured like wine in wood" , "Senescent" , "way over the hill" , "well over the hill" .)