  In polymeric quantum theories, a natural question pertains to the so called
continuum limit, corresponding to the limit where the `discreteness parameter'
$\lambda$ approaches zero. In particular one might ask whether the limit exists
and, in that case, what the limiting theory is. Here we review recent results
on the classical formulation of the problem for a soluble model in loop quantum
cosmology. We show that it is only through the introduction of a particular
$\lambda$-dependent internal time function that the limit $\lambda\to 0$ can be
well defined. We then compare this result with the existing analysis in the
quantum theory, where the dynamics was cast in terms of an internal
($\lambda$-independent) parameter for which the limit does not exist. We
briefly comment on the steps needed to define the corresponding time parameter
in the quantum theory for which the limit was shown to exist classically.
