What if we defined 6 AM as sunrise, 12 PM as solar noon, and 6 PM as sunset, year round, and then had work hours be 8 to 5 or whatever so that we always got the same proportion of sunlight for free time and for work?
In other words—leave the clocks alone! It's not the clock that's the issue here, but rather the learned inflexibility about arbitrary work and school hours.
Also, I've read that counting 12 hours from sunrise to sunset was in fact how several ancient peoples did it. They didn't even necessarily count hours at night, only watches.