Yes, Repeating Fist has a 75% chance of triggering again each time after the first use.
I was unaware that you could scale dot damage that way, so I'll probably update in a little while with something like that.

Oh wow, this looks neat. I love FFT (and some of both games' mechanics made me wish Dredmor Tactics was a thing).
I'm glad you didn't put in the passive skill that adds a quadratic scaling to your normal attack
Secret Fist should probably scale with a stat of your choice so it's neither overpowered early on nor useless in the late game. I suggest either adding scaling damage to each tick (while probably lowering the base damage) or putting a high-scaling damage burst at the end. Magical Law's Gag Order, for reference, has a 0.15 scaling each tick with half duration (while also being cheap and spammable).
Does Repeating Fist's reactivation stack?

Description still to come?