  We study the condensation regime of the finite reversible inclusion process,
i.e., the inclusion process on a finite graph $S$ with an underlying random
walk that admits a reversible measure. We assume that the random walk kernel is
irreducible and its reversible measure takes maximum value on a subset of
vertices $S_\star\subset S$. We consider initial conditions corresponding to a
single condensate that is localized on one of those vertices and study the
metastable (or tunneling) dynamics. We find that, if the random walk restricted
to $S_\star$ is irreducible, then there exists a single time-scale for the
condensate motion. In this case we compute this typical time-scale and
characterize the law of the (properly rescaled) limiting process. If the
restriction of the random walk to $S_\star$ has several connected components, a
metastability scenario with multiple time-scales emerges. We prove such a
scenario, involving two additional time-scales, in a one-dimensional setting
with two metastable states and nearest-neighbor jumps.
