There was a metric clock after the revolution, it didn’t last long, because it was bad. It made the day (as in, the 24 hour day) 10 metric hours long, and contained 100 minutes and 100 seconds. Meaning a metric hour is about 2.24 standard hours. Having only 10 hours in a day meant it was harder to schedule things, and you had to be much more precise. 10 is also just not as divisible as 12 or 60. There’s a reason why base 12 systems have staying power, even when they’re converted into base 10 and feel clunky.
My suggestion for a better metric clock, still keeping the standard base 10 of metric, would be to divide the day into daytime and nighttime hours, and giving each of them 10 so it feels all nice and frenchy. 100 minutes, 100 seconds.
That makes the metric hour about equivalent to 72 standard minutes, and the metric minute about 43 standard seconds
1 metric second would be a little less than half our current second.
The day is nearly divided into two segments, daytime (DT) and nighttime (NT) that parallels the am/pm system. I don’t particularly like this, as I prefer a 24 hour clock in our currently system, but it’s still an improvement on the actual metric clock from the revolution.
Now, if you want an actual improvement, and not just a clock that goes well with your other systems of measure, you’d need to attend on my Ted Talk on why we should transition to base 12 for everything (not go to the American/imperial system, but actual base 12. As in 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10). The meter can stay the same physical length, the dozenal kilo would balance a scale with old one, but divide everything in the new system, giving us significantly more ways to divide things evenly, and keeping the nice round “10s.”
Dammit, that wasn’t supposed to post yet. I’m still in the process of revising! Lol.