Note girl is after hairstyle that’s refined (3-5)

'refined' is the definition.
(I've seen this before)

'note girl is after hairstyle' is the wordplay.
I cannot quite understand how this works, but
'note' could be 'la' (musical note as in do-re-mi) and 'la' is found within the answer.
'girl' could be 'g' and 'g' is present in the answer.
This may be the basis of the clue (or it may be nonsense).

'that's' is the link.

Can you help me to learn more?