* A mechanical clock: Would likely not work accurately on the moon. Mechanical clocks rely on gravity to regulate their movements. The moon's gravity is about 1/6th that of Earth's, so the clock's mechanism would be affected, causing it to run slower.
* A quartz crystal clock: Would likely work pretty accurately on the moon. Quartz crystal clocks are regulated by the vibrations of a quartz crystal, which are not affected by gravity. These clocks are very precise and are used in many applications, including space exploration.
* An atomic clock: Would be extremely accurate on the moon. Atomic clocks are the most accurate timekeeping devices we have, and their operation is independent of gravity. They are used for a variety of scientific and technological purposes, including GPS and the definition of the second.
So, while a mechanical clock might not be reliable on the moon, a quartz crystal or atomic clock would work perfectly fine!