Leftover material (6)
(Other definitions for remnant that I've seen before include "Oddment, leftover piece, perhaps of material" , "rest" , "Little bit left" , "Leftovers" , "Rent-man (anag.)" .)
(Other definitions for offcut that I've seen before include "waste material" , "Waste piece" , "Remnant for other uses" , "End" , "Small bit of some material" .)