I often have many connections to many machines and using this utility I can see the machine and the command I am running. Here is an example where I am logged into my mail server watching some logs and also to remote host. Here is what the screen list looks like:

Num  Name                            Flags
 0  {@spike lindenle}: uprecords -f                     $
 1  {@spike lindenle}: htop                             $
 2  {@spike lindenle}: mutt                             $
 3  {@one lindenle}:  top                               $
 4  {@spike lindenle}: sudo tail -f /var/log/mail.log   $
 5  {@spike lindenle}:                                  $
 6  {@localhost lindenle}:                              $

The other major advantage is not closing your session when you log out. For me this is a must because i do all my analysis on a remote computer cluster with only terminal access. In fact it has been a life saver a few times recently when working from hotels with flaky wireless connections, even when the network goes down and ssh connection hangs I can just log back in and reconnect to my screen session(s).