Who gives a scrap?

Hey all,

Me and my buddy plan on printing off buisness cards, making a website, and getting brouchures made and posting them around town. I was wandering, is "who gives a scrap?" A good business name, and our logo would be "we won't give a scrap if you give us your scrap"

Too many words, in my opinion. "Give a Scrap" is short enough, but not quite as cute.