I save just about everything. I use tiny scraps (too small for a seam allowance) to make scarves by putting them between layers of wash away stabilizer and stitching all over. They sell pretty well at a couple of art galleries in town. I like to make crumb quilts and also controlled scrappy quilts, so I'm happy using small pieces and like the variety I get within color groups by using many different reds or blues, or yellows, etc. in a quilt.
Rob