Chat is showing on my mobile theme

Hi there, I love the plugin on my website when accessed from the browser on a regular computer. However, I don't like it being shown when I'm using it on my mobile. The screen estate on a mobile screen (iPhone in my case) just does not allow that to happen.

I was thinking of 2 solutions. Either a tutorial on how to get it to work on a mobile theme (which is like really difficult IMHO), or simply to disable it based on the browser's user agent (or whatever other means used to detect the web site is being served to a mobile). I'm obviously not an expert on this, so your help is very much appreciated.

Thanks!