So I'm nearly there with a four gear clock.
The gear ratios are 3/4/7.5/8
The pinions are just big enough to fit bare over M5 threaded rod, except for the gear with the drum, which has plenty of space for bearings, perhaps even regular skate bearings.
I couldn't get 3/4/10/12 to work with M5 shafts, so now I need to design a thirty tooth escapement for this clock. Might need to just make it bigger and lose the club teeth.
I also increased the max diameter of the gears to the limit of a TOM build area.