It’s a new take on the old animated GIF’s.  So how do you make them?  Simple… take a sequence of video and export each frame as its own picture in a series.  Then with an image editing software like Photoshop, mask out the parts you don’t want to animate.  The results can be quite stunning like this one:

A cool cinemagraph

A short tutorial on how to do one can be found here: http://www.tested.com/news/how-to-make-your-own-cinemagraphs-a-new-take-on-gifs/2253/