Brilliant! Check out Alice Schlein's Weaverly blog post featuring double woven edges:
I detest weaving edges, whether on a shawl or a towel, what-have-you. Fringe takes forever to twine, and I don't like leaving it loose. I've never cared for folding over and sewing either. But this technique shows promise.
Start and end with double weave (and on a later post she shows you how to do that even on 4 harnesses:
http://weaverly.typepad.com/weaverly/2011/11/double-weave-hems.html). When off the loom tuck the ends into the "tube" and whip closed. Nice clear finish. 8-]