Pull out and pull out (8)
I believe the answer is:
withdraw
'pull out' is the definition.
(I've seen this before)
'and pull out' is the wordplay.
'and' becomes 'with'.
'pull out' becomes 'draw' (synonyms).
'with'+'draw'='WITHDRAW'
(Other definitions for withdraw that I've seen before include "Leave" , "Extract" , "Retire" , "Remove, take away" , "Recant" .)