Air-conditioning given to staff of appreciative society (7)
I believe the answer is:
fanclub
'air-conditioning given to staff' is the definition.
I know nothing about this answer so I can't judge whether it can be defined by this definition.
'appreciative society' is the wordplay.
'appreciative' becomes 'fan' (I can't explain this - if you can you should give a lot more credence to this answer).
'society' becomes 'club' (synonyms).
'fan'+'club'='FANCLUB'
'of' is the link.
Can you help me to learn more?
(Another definition for fanclub that I've seen is " followers".)