By “spinning clock” do you mean an analog clock with hands for the hours and minutes and perhaps seconds ? Do the hands have to spin fast to simulate the passage of time or can the hands just advance to the next time/position regardless that the minute (? and seconds ?) hand(s) won’t act like a true clock hands would ? Do you have to be able to stop at any time or just a few, well known in advance, positions ? How long do you have to move from one position to the next ? (Do you even need a motor ?)
Hard to say whether it would be better to link them all mechanically or just have them controlled individually but my inclination is to do the latter as it would be easier for me to do that rather than have linkages made. Size and spacing of the clock faces would play into this decision.