There are several blog posts out there which describe how to extend a default form with other information. One popular example is the indication of VIP users by either binding to a text or boolean value available on the selected user object.
If you read through the above noted posts you will notice that extending Service Manager forms is not a big thing and can be pretty handy to put something to attention of the analyst. Instead of binding a label to a property of a related object one can also bind it to a property of the same object of course.
With this you can easily present information on the General tab of an Incident which is normally hidden on an other tab.
To illustrate this I created kind of a sample Management Pack which contains an Incident form extension which shows the selected Incident tier queue enum right below the Affected User.
If you are interested, you can download the Management Pack on Technet Gallery. Feel free to extend and change it so that it fits your needs 🙂