It is an incredibly complicated design. I would encourage you to pursue and perfect it.
One comment is a clock face generally has some way to recognize 12.
Think about a way to show 12, 9, 6 & 3 as different from 1,2, 4,5,78,10,& 11
And maybe a way of showing 12 as unique from 9,6,3. Although straight up on a vertical can be 12.
You are aware of the unmatched joints.
The more pie slices the bigger the a small error becomes.
Any error in the thickness of the the strips, accuracy of glue up and angles cut are multiplied by 48.
you can test your angle of cuts on accurately machined scrap wood. Once your test setup fits together perfectly, cut your good pieces.
Maybe work some designs with fewer cuts to build your joinery skills.
I would like to see some future work!