Who has been looking at my website?

There’s various ways you can apply this information.  For me I like to see how users navigate thru my site in real-time and try to identify new patterns or behaviors aside from what standard reporting provides.  Additionally real-time is encompassing with the Visitors Flow report.  Here’s more on that http://www.ivantemelkov.com/2011/11/23/google-analytics-introduces-visitors-flow-report/ 

As things progress with analytics I’m sure there will be a justified reason for specific use.  Real-time is in beta still anyway and I’ve found some errors in reporting myself when taking it for a spin.  You should check it out when you get a chance.