Offcut is a term used to refer to a piece of material that is left over after a larger piece has been cut. There are several synonyms that you can use in place of the word offcut. Some of these synonyms include scrap, remnant, leftover, excess, oddment, and remnants. These words can be used interchangeably depending on the context. For example, scrap and remnant may be used to describe a piece of cloth left over after cutting out a garment. Excess can be used to describe a piece of wood left over after cutting a plank. Meanwhile, oddment and remnants are often used to describe small, irregularly shaped pieces of material.