Call up a woman, a case for approval (5)
I believe the answer is:
evoke
'call up' is the definition.
('evoke' can be a synonym of 'call up')
'a woman a case for approval' is the wordplay.
'a woman' becomes 'eve' (Eve is an example**).
'a case for' indicates putting letters inside.
'approval' becomes 'ok' (OK is an example).
'eve' going around 'ok' is 'EVOKE'.
(Other definitions for evoke that I've seen before include "Call forth (a response)" , "Awake memories" , "Awaken memories in the mind" , "Call up (memories, for instance)" , "Kindle (memory)" .)