See a girl with quality (5)
I believe the answer is:
class
'quality' is the definition.
(I know that class is a type of elegance)
'see a girl' is the wordplay.
'see' becomes 'C' (the word for the letter, according to Chambers).
'a girl' becomes 'lass' (lass can informally mean a girl).
'c'+'lass'='CLASS'
'with' is the link.
(Other definitions for class that I've seen before include "showing stylish excellence" , "26 [ORDER]" , "Teaching group" , "It may appear after working" , "School group" .)