Where were the first weight-driven mechanical clocks commonly installed around the late 13th century?

In towers in major towns or within monasteries.

The transition to purely mechanical timekeeping marked a major shift occurring in medieval Europe during the late 13th and early 14th centuries. These first weight-driven devices were complex, costly endeavors, reflecting significant investment. Consequently, their initial placement was strategic, reflecting their primary functions as instruments of public or religious order rather than personal convenience. They were typically installed prominently in the towers of major municipal centers to announce the hours to the populace, or within the structured environment of monasteries where strict, fixed times for prayer required reliable signaling, making them public statements of civic organization or religious devotion.