The ancients obviously knew the Sun rose on the East, but they wouldn't have precise portable instruments to measure time so they couldn't compare the time between cities separated by hundreds of miles. Is there any historical record thar they knew that noon at one city might be sunset at another place? When did humans start to take into considerstion time zones?
People knew this in classical antiquity. It isn’t difficult to figure out if you know the Earth is spherical (as the ancients did) and that the sun moves in a particular direction across the sky. No fancy clocks needed.
I dropped in a longer answer to this when it came up yesterday. I’m on mobile so I’ll just link to that:
https://www.reddit.com/r/AskHistorians/comments/8zc8ou/comment/e2hnbiz?st=JJPSMN7K&sh=ca2adf51