This device solved the problem of inadequate calendars and scribal error in transcribing them.
No doubt if the Greeks had been able to pursue their technological development they'd made the leap from writing on primitive wax boards and sheep skin to the modern CRT/keyboard system without ever having discovered moveable type.
Remember, paper and printing is NOT OBVIOUS.
Civilizations older than the ancient Greeks had the ability to track days, months, and years with precision, and they didn't have paper, either.
The ancient Greeks had a phenomenal level of skill with the science of mathematics, as evidenced by their many monuments and public buildings (the Parthenon, for example). I highly doubt that the simple technology of tracking the movement of the sun, moon, and stars was outside their grasp.