Refined society girl behind the mike? (8)
I believe the answer is:
debonair
'refined' is the definition.
('debonair' can be similar in meaning to 'refined')
'society girl behind the mike?' is the wordplay.
'society girl' becomes 'deb' (I've seen this before).
'behind the mike?' becomes 'onair' ('on air' can mean broadcasting on the radio).
'deb'+'onair'='DEBONAIR'
(Other definitions for debonair that I've seen before include "Having carefree, suave manner" , "Carefree and elegant" , "The dashing" , "Elegant, courteous" , "Having a carefree confident manner" .)