Who on Earth Lost the Watch?

Having no time doesn't mean disappearing, but hiding after repetition; having time doesn't mean idleness, but rebirth after breaking the cycle. A person with no time left behind a Republic-era pocket watch. It wasn't a trap, yet it was one all the same. A person with time wanted to return it intact, but their whereabouts are unknown. Countless unintentional acts make it hard to unravel the mystery, but the seeker isn't the culprit either. So who lost the watch?