Here’s a collection of links about wooden clockworks.
First, you need to search for “wooden clockworks”, not “wooden clocks”, since lots of people make wooden cases, put a quartz clockworks in them and then list them as “wooden clocks”.
This site would win the awards for both “most irritating website ever”, and “most useful information”.
This site looks really promising, and is what pointed me at the first one.
It even has a beginner’s project, which has only a weight and an escapement which runs for 10 minutes.
Horology.com has everything there is to know about clocks. As a result, it is thin on wooden clocks.
Looks like I need to buy a scroll saw for this adventure.