This is exactly the decimal time system used in France during the brief period of the post-revolutionary established First Republic, 1794 to 1800.
Although the metric system originated at the same time, it's important to note that the French Republican decimal second isn't the same as the one used by international metric system (SI) that we ended up with. So calling this "metric time" is quite misleading.
The decimal second is shorter than the standard one because there are 100,000 decimal seconds in a day vs. 86,400 SI seconds in a day.
(If you're a rich antiques collector, a late 18th century French decimal clock might be a very interesting object. My understanding is that they are rare because their active use was so short and most clocks were repurposed to standard ones.)
Although the metric system originated at the same time, it's important to note that the French Republican decimal second isn't the same as the one used by international metric system (SI) that we ended up with. So calling this "metric time" is quite misleading.
The decimal second is shorter than the standard one because there are 100,000 decimal seconds in a day vs. 86,400 SI seconds in a day.
(If you're a rich antiques collector, a late 18th century French decimal clock might be a very interesting object. My understanding is that they are rare because their active use was so short and most clocks were repurposed to standard ones.)