This scarflette looks complicated, but is actually very quick and easy to make, and you can get to use very small amounts of scrap yarn.
Scrap yarn
Suitable crohet hook
As long as you want!
Doesn't matter
Ch 28, make a ring. Ch 3 (=1dc), 1 dc in 1st ch, 2 dc in each st, sl st in 3rd ch.
Ch 3 (=1 dc), 1 dc in 3rd ch, 1 dc in next st * 2 dc, 1 dc, in 2 next two sts * continue from * to *, 1 sl st in 3rd ch. Cut yarn and fasten off.
Next circle:
Ch 28, make a ring going through the first ring – continue as described over.
The third circle goes through both of these circles. The fourth circle goes through the second and third circle, and so one, till desired length.
If this doesn't make sense to you, please read ktutcher's comment under, that explains it brilliantly. Thanks, ktutcher!