Not sure if this really qualifies as a new move--it's really more like a variant on an existing move:
After I got reasonably comfortable with the 5-beat weave, I realized I could change directions (both my facing and the rotation of the chains relative to me) by following the wicks with my body as I whipped them across myself. Then I realized I could continue turning in place as long as I kept following. On the downstroke, as you whip your lead hand across your body in the direction you want to turn, just follow it with your body. When your hands are moving the opposite way, don't turn. I can do about 4 complete rotations before I get dizzy now.
I've decided to dub this the "thresher pirouette" (unless someone else already has a name for it). I've seen one other twirler who I think was doing this move, but I'm not exactly sure what she was doing.