Lack young woman (4)
I believe the answer is:
miss
This clue is a double definition.
'lack' is the first definition.
(synonyms)
'young woman' is the second definition.
(title for a young woman)
(Other definitions for miss that I've seen before include "Fail to perceive" , "Fail to get" , "Fail to hit; girl" , "Fail to hear" , "Teacher" .)