Call to mind First Lady getting to grips with fine (5)
I believe the answer is:
evoke
'call to mind' is the definition.
('evoke' can be a synonym of 'call to mind')
'first lady getting to grips with fine' is the wordplay.
'first lady' becomes 'eve' (I've seen this before**).
'getting to grips with' means one lot of letters goes inside another.
'fine' becomes 'ok' ('OK' can be a synonym of 'fine').
'eve' going around 'ok' is 'EVOKE'.
(Other definitions for evoke that I've seen before include "Conjure up" , "Call up; elicit" , "Elicit (a response)" , "Summon up" , "Call up (memories, for instance)" .)