Pull out leaflet supporting former partner (7)
I believe the answer is:
extract
'pull out' is the definition.
('extract' can be a synonym of 'pull out')
'leaflet supporting former partner' is the wordplay.
'leaflet' becomes 'tract' (I've seen this in other clues).
'supporting' says to put letters next to each other (in a down clue, some letters go below others).
'former partner' becomes 'ex'.
'tract' after 'ex' is 'EXTRACT'.
(Other definitions for extract that I've seen before include "Draw or pull out" , "Take out by force, say a tooth" , "Piece taken from a longer work" , "Uproot by force" , "concentrate" .)