Well, refocusing is what the marketing and the reviews of this camera focus on (ha, I kill me...), but personally I find the 3D possibilities a lot more interesting. On their not-very-usable website, the refocused shots with most of the image blurry look like gimmicks, while the ones with a 3D effect (they are reconstructing the view from different points on the surface of the lens, letting our point of view move around the scene a little bit) look more promising. I don't know if I would buy the camera just for that as a consumer; to me personally, it would be more interesting in a computer vision product.
Returning to the focus, it's true that this has some potential to turn the photographer adage "f/8 and be there" into "f/2 and be there", letting you keep more of the light while the subject is still in focus. However, this is not automatic, since multi-view matching has to be done to superimpose the images of the subject captured from different points of the lens; and this will bring in the difficulties we have with stereo matching, such as occlusions (some parts of the subject can be seen from one point of the lens, but not from another), or ambiguities (it's hard for an algorithm to tell which points of the pictures correspond to the same point of the subject).
Returning to the focus, it's true that this has some potential to turn the photographer adage "f/8 and be there" into "f/2 and be there", letting you keep more of the light while the subject is still in focus. However, this is not automatic, since multi-view matching has to be done to superimpose the images of the subject captured from different points of the lens; and this will bring in the difficulties we have with stereo matching, such as occlusions (some parts of the subject can be seen from one point of the lens, but not from another), or ambiguities (it's hard for an algorithm to tell which points of the pictures correspond to the same point of the subject).