Vain Tory in chair for hearing (9)
I believe the answer is:
conceited
'vain' is the definition.
('conceited' can be a synonym of 'vain')
'tory in chair for hearing' is the wordplay.
I cannot really see how this works, but
'tory' could be 'con' (abbreviation for Conservative) and 'con' is present in the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for conceited that I've seen before include "With a high opinion of oneself" , "Very proud of oneself" , "Vain; narcissistic" , "Arrogant" , "full of himself" .)