I don't think you can clone autoflowering plants, but i'm not completely sure. I'll have to look it up, but i've read it before on another site..
Technically you can...
but people don't because there is no way to keep a mother in veg state. And you get beans to harvest in around 60days so no real point.
Doc- this will be interesting to watch. Might not be the easiest to clone, I don't know. Keep us updated, I would really like to know what happens, just for the fun of it.
The lady that the branch broke off of is fine though, right? Other then a little ouch?