Draw out from old region (7)
I believe the answer is:
extract
'draw out' is the definition.
('extract' can be a synonym of 'draw out')
'old region' is the wordplay.
'old' becomes 'ex'.
'region' becomes 'tract' (tract is a kind of region).
'ex'+'tract'='EXTRACT'
'from' is the link.
(Other definitions for extract that I've seen before include "Take or pull out - say a tooth" , "Uproot by force" , "Get out" , "short passage from a book" , "Separate, in a mining sense" .)