Related Clues:

• Piece thrown to the dog
• Bit of a fight
• Put into a Dumpster, e.g.
• Leftover cloth bit
• Recycling candidate
• Leftover bit of cloth
• Bit for Fido, perhaps
• Give up on
• Piece of waste paper
• Fabric fragment
• Bit of cloth
• Treat for Spot
• A fight for a small fragment
• Fragment or morsel
• A little bit of a fight