  We report on recently performed simulations of Causal Dynamical
Triangulations (CDT) in 2+1 dimensions aimed at studying its effective dynamics
in the continuum limit. Two pieces of evidence from completely different
measurements are presented suggesting that three-dimensional CDT is effectively
described by an action with kinetic term given by a modified Wheeler-De Witt
metric. These observations could strengthen an earlier observed connection
between CDT and Horava-Lifshitz gravity. One piece of evidence comes from
measurements of the modular parameter in CDT simulations with spatial topology
of a torus, the other from measurements of local metric fluctuations close to a
fixed spatial boundary.
