Discovered this by accident due to heavy lagging about four times, but hey.
If you are a newcomer to Shattrath, Khadgar will send you on a quest called "City Of Light", where one of his elemental servants will show you around the city. This is the pre-quest to joining the Aldor or the Scryer's.
Now as you walk around the city, NPC's that you pass will interact with you. Some will say things such as... "Oh, Khadgar himself is showing you around [name]? You must have a really good impression on him!" or "Be mindful of what you say! This one is being showed around the city by Khadgar's own pet!"
It's all novelty, but if you like this sort of interaction by just riding past, then all you need to do is to let the elemental thing keep walking past you. I myself got outrunned by the elemental due to lag, so I don't know if you can actually run from it instead. Just stay put and let the elemental keep walking.
You will not fail the quest, but it will not be completed either. The elemental will just keep up his route and then vanish. You will now count as having the quest permanently enabled, and certain NPC's in Shattrath will treat you as if you are still being shown around by the servant.
If you would like to advance later on, just disband the quest and re-take it from Khadgar again.
<(^_^)>