First Lady never hugs! (3)
I believe the answer is:
eve
'first lady' is the definition.
(first woman in the Bible)
'never hugs' is the wordplay.
'hugs' indicates the answer is hidden within the clue (the answer is hugged by letters in the clue).
'EVE' is hidden in the letters of 'never'.
(Other definitions for eve that I've seen before include "Mother of Abel" , "Day before (an event)" , "Day before a festival" , "One from Genesis" , "Day before; girl's name" .)