I <3 my cyclo.
It has excellent corrective power, very minimal learning curve, and makes it very difficult (if not impossible) to burn the paint. On one of my test pieces, I let it sit with an aggressive polish and yellow pad on one spot and it didn't burn through. Try that with a rotary, heh.
The biggest trick I've found is using the right product combination with it - for me, that's gloss-it products. Previously I was a a big fan of Menzerna, but I could never do a perfect correction with them - a great correction, yea, but never perfect. Had very little luck with 1z and Meguiars stuff (other than 83) on it. But gloss-it extreme cut and evolution polish changed that.
I prefer it over my flex 3401 - I was kind of surprised to find that the flex, while more powerful (and capable of burnign paint, hehehe) just had a little bit more corrective power (with my technique&products) than the cyclo....and I would gladly trade a bit of correction for more safety.