Can I get Civilization V to show me a clock so that I don't stay up playing until 4 AM?

One of the most important features in Civilization IV was the clock. It allowed you to both see how long you've been playing and also set an alarm. From the manual:

CLOCK SCREEN

The Clock Options Screen lets you turn on and off a clock to time how long you’ve been playing, as well as set an alarm to let you know when you should stop playing and go to work. Or eat.

After playing Civilization V until past 4 AM (one more turn, I swear!), I've realized that I desperately need this feature.

Is there a way to turn on a clock, preferably one with an alarm but just a display of the time, in this game? I couldn't find it in the settings.

_{Sure, I could use my phone, but I'd like something more visible while I play. And since I charge it only when I sleep (rather than playing Civ), there's a fair chance that it's going to be dead long before 4 AM!}