I don't think chat's written code is compatible with mobile devices. Usually, when you pull up a website, on a phone, iPad, tablet, etc. it gives you the option to go to the mobile site, instead of the desktop site, and SoM doesn't do that. Since chat, and the rest of the website, is meant to be used on a computer, it is possible, that the way the code is written isn't compatible with mobile devices.
Or that is my theory at least.