To "jump forward" you can just stand: once you reach 24:39:00 the seconds arm stops over zero, waiting for another 35.2 seconds; at 21 seconds before midnight the minutes arm gets picked up by the seconds gear and advances one display minute per second of time, until midnight is reached (thus readable as a "seconds to midnight" movement in settings such as New Years). I have seen more complex motions implemented in wrist-watches so it seems doable.

I'm not yet entirely sold on the moving dial principle, I've placed my wristwatch upside down on my hand and trying to read it gave me a headache. The angle the hands make with the line of sight is indeed not very relevant, but their relative position to the fixed known elements of the dial feels essential.