Elegant girl coming out and broadcasting? (8)
I believe the answer is:
debonair
'elegant' is the definition.
(I've seen this before)
'girl coming out and broadcasting?' is the wordplay.
'girl coming out' becomes 'deb' (short for debutante).
'and' says to put letters next to each other.
'broadcasting?' becomes 'onair' (broadcasting on the air).
'deb'+'onair'='DEBONAIR'
(Other definitions for debonair that I've seen before include "Jaunty, charming" , "Sprightly" , "Cheerful, lively and self-confident" , "Chic" , "Having carefree, suave manner" .)