OMG, what a unique mechanic! The closest thing I can think of is Pikmin, where you're herding your group around. The art style reminds me very much of The Binding of Isaac. This idea definitely has potential, I just wish there was more challenge beyond the first couple levels. Also, some kind of indication where the edge of the map is would be good too.
The "safe zone" was just a white square, was that intentional? And you know you can control the character in the main menu, right?
I would totally play this again if it had more time to bake.