No one's asked me this question but I thought I'd answer it in anticipation (sad, I know).
It all started in 1066 with a little bit of visual storytelling in a wondrous piece known as the Bayeux Tapestry. As some of you might know this item detailed the defeat of the Anglo-Saxon residents of Britain by the Norman invaders under William the Bastard. Being a history buff and all around nerd I decided to go with a name for something that was both visual and true to my interests. In the tapestry it is said that poor King Harold Godwinson, the doomed Anglo-Saxon monarch, was depicted as having an arrow through his eye.
It was the idea of this image and my mourning of the old defeat (yes, I'm a true Tolkien-like scholar when it comes to this series of events) that inspired me to adopt the name Arrow-Eye. That and I thought the image would look pretty cool.
So there you have it. If you're still awake after all that history stuff you now know the reason behind why I call it Arrow-Eye Studios.
Until next time, friends!