Remaining exam taken again — with the time cut — in two parts (8)
I believe the answer is:
residual
But I can't explain it at all!
(Other definitions for residual that I've seen before include "Leftover; repeat royalty" , "Pertaining to what is left over" , "'Remaining, left over (8)'" , "unused" , "Leftover - used rail (anag)" .)