Hat-wearing model? That's right (5)
I believe the answer is:
title
'right' is the definition.
(title is a kind of right)
'hat-wearing model?' is the wordplay.
'hat' becomes 'tile' (I've seen this before).
'wearing' indicates putting letters inside.
'model?' becomes 't' (Ford Model T car).
'tile' placed around 't' is 'TITLE'.
'that's' is the link.
(Other definitions for title that I've seen before include "Distinctive name" , "What could be professor's" , "One published" , "Name of film, book etc" , "Identifying name" .)