Woman not completely common (5)
I believe the answer is:
norma
'woman' is the definition.
'not completely common' is the wordplay.
'not completely' means to remove the last letter.
'common' becomes 'normal' (I've seen this before).
'normal' with its final letter removed is 'NORMA'.
(Other definitions for norma that I've seen before include "- - Jean Baker: Marilyn Monroe" , "Operatic work" , "Roman (anag) - girl's name" , "name for Monroe" , "Outdoor function" .)