I feel like teleportation as a mechanic is a neat idea to work with. Some of the ideas you incorporate make for good depth and complexity as the player progresses.
The clunky controls and the lack of feedback/sound really hurt the experience, however. The teleporation mechanic feels chaotic and I'm not really sure what its limitations are. The visuals are kinda jarring and the player blends into the background on my monitor a little.
I might be repeating some of the other comments in here when I say the potential for a really interesting teleportation puzzle game is at your fingertips, but it still feels like a prototype.