We used to do that in the 19th century before standard time was a thing with railways. Though scheduling an online meeting with anyone outside your city would be hell, for example a 9:00am meeting in New York City would be 8:48am in Boston and 9:12am in DC.
You should have also have a read on Japan's time system before 1873 in the Meiji period: https://en.wikipedia.org/wiki/Japanese_clock
It breaks the day and night in 6 parts each. These parts are longer in summer and shorter in winter, corresponding to a changing length of the work day, which is what you were describing. Certain aspects were retained in Japanese vocabulary like 午 still used to represent noon like in afternoon (but using the standard 24h clock), or the word for snack derived from the number 8 because that was what represented the time 2/3s of the way through the day when labourers of the day typically took a break and had some tea and a light meal.