Very cool idea. Is the code public? I'd love to see how you implement it.
But generally speaking, if you can get JavaScript to display the current time in a browser, you can pull in that file via a browser source (using a file:// protocol) and show it on the screen. From there, it's a matter of doing anything else you can get JS to show in a browser. Or, if you have a local server running, you can display entire websites along side your face.
At that point, it's an interesting shift in mindset — you're not designing stuff for the browser, but to be displayed next to you.