Attached to a refined redhead (7)
I believe the answer is:
adhered
'attached' is the definition.
(adhering is a kind of attaching)
'refined redhead' is the wordplay.
'refined' is an anagram indicator.
'redhead' with letters rearranged gives 'ADHERED'.
'to a' acts as a link.
(Other definitions for adhered that I've seen before include "Stuck to, remained loyal" , "Stuck - redhead (anag)" , "Showed sticking power" , "Stuck; glued" , "Stuck (to something)" .)