Curry, not the first, in space (4)
I believe the answer is:
room
'space' is the definition.
(room is a kind of space)
'curry not the first' is the wordplay.
'curry' becomes 'groom' ('groom' can be a synonym of 'curry').
'not the first' means to remove the first letter.
'groom' with its initial letter taken off is 'ROOM'.
'in' is the link.
(Other definitions for room that I've seen before include "Adequate space" , "bedsit?" , "See 17" , "Space; part of building" , "Box ---, storage area" .)