The scifi series Babylon 5 with its titular station used Earth Standard Time [1] while being placed in Epsilon Eridani system. That doesn't sound bad, I think.
The another issue the future colonists will have to deal with will be how to track days, months and years. There's Thomas Gangale's suggestion that does look interesting [2].
[1] - https://babylon5.fandom.com/wiki/Earth_Standard_Time [2] - http://ops-alaska.com/time/gangale_mst/darian.htm