It is not clear what you are asking about: clocks (devises to measure time) or systems to record the time. Ancient Babylonians had no clocks. Time recording was needed for astronomy. As true (quantitative) observational astronomy began in Babylon, their time recording system spread universally. Clocks were a later invention (water clocks), and this had little to do with the system of units, the system of units only tells you how to divide the dial. The French, when they introduced a universal decimal system of units for measuring everything during the revolution, tried to introduce it for time and angles as well. This did not work because the Babylonian units of time and angles were already universally accepted.

It is not clear what you are asking about: clocks (devices to measure time) or systems to record the time. Ancient Babylonians had no clocks. Time recording was needed for astronomy. As true (quantitative) observational astronomy began in Babylon, their time recording system spread universally. Clocks were a later invention (water clocks), and this had little to do with the system of units; the system of units only tells you how to divide the dial. The French, when they introduced a universal decimal system of units for measuring everything during the revolution, tried to introduce it for time and angles as well. This did not work because the Babylonian units of time and angles were already universally accepted.