Woman's look to vanish (9)
I believe the answer is:
disappear
'to vanish' is the definition.
('disappear' can be a synonym of 'vanish')
'woman's look' is the wordplay.
'woman's' becomes 'Dis' (short for Diana).
'look' becomes 'appear' (synonyms).
'dis'+'appear'='DISAPPEAR'
(Other definitions for disappear that I've seen before include "Leave" , "Go missing" , "Vanish, cease to be visible" , "exit" , "walk" .)