I have a clock very close my computer (hanging from the wall like 0.5m from me), and can tell ya - even seeing that it's 3, 4, 5 AM already doesn't make me stop playing Sword Of the Stars (sorry for this bold advertisement attempt). My 0.02€.
On the topic: having a turn counter would be of course a nice idea, and possibly there should also be an option to toggle the counter on and off.