In order to generate PDF's on the client. I'm sure there are a ton of web services that would love to do this.

Offline rendering of LaTeX in the browser without needing to download a full installation of LaTeX! I think that's pretty cool.

Running LaTeX on Chrome OS? Frankly, I'm not sure.

Could certainly come in handy if I ever need to quickly recompile my resume and I don't have access to a system with LaTeX installed.

Because: he could