In a recent preprint Renate Loll et al. present numerical evidence that causal dynamical triangulation is eventually a discretization of Horava-Lifshitz gravity.
But is this really good news?
In an earlier paper by Christos Charmousis et al. an argument was given that "the original Horava model, and its 'phenomenologically viable' extensions do not have a perturbative General Relativity limit at any scale". Lubos wrote more about that at the time and there is also this paper with a more general argument.
I am neither an expert on CDT nor Horava-Lifshitz gravity and would welcome comments about this. (Of course, I always welcome comments!)