Close new organ (4)
I believe the answer is:
near
'close' is the definition.
(I know that close can be written as near)
'new organ' is the wordplay.
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'organ' becomes 'ear' (the ear is an organ).
'n'+'ear'='NEAR'
(Other definitions for near that I've seen before include "Almost; approach" , "Close to - stingy - approach" , "Close in time or place" , "Tight-fisted" , "Close, not far away" .)