I was hoping to learn how people developed beyond things like a sundial, and started building devices to keep more accurate time of shorter intervals.
EDIT: Just to clarify, I meant a time keeping device that didn't need you to have the sun or stars around you.
Perhaps the Antikythera mechanism?
From the wiki page:
The Antikythera mechanism (/ˌæntɨkɨˈθɪərə/ ant-i-ki-theer-ə or /ˌæntɨˈkɪθərə/ ant-i-kith-ə-rə) is an ancient analog computer designed to predict astronomical positions and eclipses. It was recovered in 1900–1901 from the Antikythera wreck, a shipwreck off the Greek island of Antikythera. Its significance and complexity were not understood until a century later when it was analyzed with modern X-ray technology. Jacques Cousteau visited the wreck in 1978 and recovered new dating evidence. The construction has been attributed to the Greeks and dated to the early 1st century BC. Technological artifacts approaching its complexity and workmanship did not appear again until the 14th century, when mechanical astronomical clocks began to be built in Western Europe.