I have been making these:
http://latelyreconstructed.wordpress.com/2011/07/01/reusable-fleece-swiffer-duster-tutorial/

They use up pieces of batting that are too small to piece into a backing. They can be washed and become a bit puffier as they get washed. Sometimes I spray endust on them as our dust is SO fine! It likes to be pushed around and not picked up! (price we pay for our lovely winters, I guess!)

If your scraps are large enough to butt together, use light weight fusible interfacing rather than stitching. (You will need a steam iron and a pressing cloth.) You can spend a lot of money purchasing a small package of the same thing. But you can also buy it as yardage the cut your own strips. Our LQS sells this interfacing for $1/yard and it is either 60 of 72" wide. Just ask for it.

I use them for sandwiches for fmq to practice and warm up before tackling the actual quilt!

Yes, I use them to practice too and check tension too!

Small pieces are great for potholders, mug rugs, coin purses, etc. and the smaller pieces can be used in pillows, sachets, and I make flat dog toys that look like a gingerbread man with denim on both sides and a piece of batting in the middle and then sew close togehter echo style from the middle to the outside edge so they are almost impossible to tear up.

If they aren't too narrow, I zigzag them together and use them as one layer in potholders.

great use of the remains

great link,thanks

You don't need a ruler! When I debone a shirt, I lay the remains on my mat in a shallow pile, and go to it with the rotary cutter. Anything more than an inch or two gets one more slice. These pieces all go into cat pillows.

The really small scraps make great erasers for my dry erase marker board. When they are dirty just throw them away.