I've seen this kind of jittery-but-effective 3D effect before. In fact, you can take old stereoscope cards and make looping Gifs with the two images. A new iPhone app called Slide uses the same principle, but takes out the grunt work.
Slide is a brand new way to create 3D photos with your iPhone. Compose your shot then move your device in a smooth and swift horizontal motion to capture. Tap the subject of your photo and it magically becomes 3D. Ready to share as a looping GIF or video to Instagram, iMessage, Twitter, Facebook and more.