One girl's name for perfume (5)
I believe the answer is:
aroma
'perfume' is the definition.
('aroma' can be a synonym of 'perfume')
'one girl's name' is the wordplay.
'one' becomes 'a'.
'girl's name' becomes 'roma' (**).
'a'+'roma'='AROMA'
'for' acts as a link.
(Other definitions for aroma that I've seen before include "Distinctive smell" , "Agreeable odour" , "Distinctive scent" , "Nose" , "Pervasive atmosphere" .)