Support click-and-spin with momentum: I clicked outside the mandala and quick-dragged horizontally, hoping this would spin the mandala.
You could support zero-friction and momentum, slowly stopping.
In either this unlocks a dramatically new aesthetic: clicking on the rotating surface draws splines. The mapping of gesture-to-line (hence mandala elements) changes completely.
There are some complications, intuitively one might expect "pottery wheel mode" where symmetry is not enabled... I think that would be "unlearned" however.