Interesting enough are also the first Greek clocks that were powered by water pressure! Archimedes and Ctesibius made some versions of them. These were in use for many years and also helped the telecommunications to keep people in touch at certain times of the day. The most advanced of them had used some clever systems to keep constant pressure on the water that was flowing, through specially made pipes.
A lot of sun clocks were also widely available and some of them are still working until today! Cheap enough to make but works only when the sun shines.
I don't know about the accuracy but I'd like one of them in my garden!!-)
Whoever wanted even better accuracy about the time, could find some simple astrolabes that could help him to find the time day or night with accuracy of 1 minute! With simple training could also find a lot of astronomical and astrological data, as soon as the clouds were not on the sky! ;-)
These data was very valuable for the astronomers and the astrologers of this time period that pushed the construction of higher accuracy astrolabes much farther.
One very simple method of measuring time was the well-known clepsydra of specified flow total time. Other method was by the use of specific dimensions candles with marks on them.
Plato made the first clepsydra working as alarm clock.
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