Good pictures! Here is my wood trick pump jack. It would be fairly easy to build compared to your clock. The sanding of the gear teeth and use of the paraffin as lube are the main points that often neglected. Here is a little video of it from my youtube channel.
https://www.youtube.com/watch?v=U3cq7BqbqOs
That is a great looking model, also the little geared motor is a nice quiet way to enjoy it!
When they design these as wind-up rubber band powered, there is usually a little simplified clock works Escapement , that is cool but it must "tick" very fast to provide motion, and that makes quite a clatter.
I think if I do my "harden" the gear teeth on this one that the teeth would hold up to Stirling engine power, so the toothpick axles may be the weak link? I have found a gauge of hard music wire that closely replicates the toothpick size for stronger axles. I will likely order one soon and give it a go.
Thanks for sharing the video!