Well, Hořava's theory is an interesting bit of work, but as this article says, a
lot has yet to be done on it. Incidentally, from what I can tell this new paper (which has gotten mentioned in a couple of threads here in the last few days) doesn't have any shocking new results, it just shows some of the limitations of Hořava gravity and points some directions for the future.
It's a very new theory and a lot of work has yet to be done on it. The violation of Lorentz invariance doesn't help (it
might be true but that's a knock on any theory, let's be honest), and it needs a bit of fine-tuning to make it match reality. Also, bear in mind that this isn't
actually a theory of quantum gravity, just a modification to general relativity that might be a useful stepping stone to quantum gravity. Hořava gravity, to the best of my knowledge, is purely a theory of gravity, and incorporating it into a full quantum theory of particle interactions will be difficult, to say the least.
That said, it
is a theory of gravity that plays a lot more nicely with quantum mechanics, and that's certainly something to be looked at.
Here's a somewhat technical (but also more detailed) view on the same article:
http://physics.aps.org/articles/v2/71