Yesterday I decided to get this tatting thing right, and did and redid it until I worked out exactly what I was supposed to be doing between each chain or ring. I stuck a few beads on it (since they were already threaded onto the cotton I was using anyway), and stuck it on a leather strap.
I'm pretty happy with it. Now I'm working on the same design, but with lots and lots more beads. (I learned how to do it from here.)