Bury that chap (not husband) in time between events (7)
I believe the answer is:
'time between events' is the definition.
(I've seen this in another clue)
'bury that chap not husband' is the wordplay.
'bury' becomes 'inter' (to inter is to put into the ground).
'that chap' becomes 'him' (I've seen this in another clue).
'not' indicates named letters should be taken away.
'husband' becomes 'h'.
'him' with 'h' removed is 'im'.
'in' is the link.
(Other definitions for interim that I've seen before include "Meanwhile" , "Caretaker" , "Stopgap" , ", I'm put in grave situation initially" , "not there for ever" .)