First of suitors snubbin' a young girl (9)
I believe the answer is:
signorina
'young girl' is the definition.
(Italian equivalent to 'miss')
'first of suitors snubbin' a' is the wordplay.
'first of suitors' becomes 's' (1st letter of 'suitors').
'snubbin'' becomes 'ignorin'' ('ignoring' said like 'snubbing' was; 'ignore' can be a synonym of 'snub').
's'+'ignorin'+'a'='SIGNORINA'
(Other definitions for signorina that I've seen before include "Miss Italy?" , "girl abroad" , "Foreign maid" , "Young lady from Rome?" , "Italian girl revealed" .)