  Discontinuous phase transitions out of equilibrium can be characterized by
the behavior of macroscopic stochastic currents. But while much is known about
the the average current, the situation is much less understood for higher
statistics. In this paper, we address the consequences of the diverging
metastability lifetime -- a hallmark of discontinuous transitions -- in the
fluctuations of arbitrary thermodynamic currents, including the entropy
production. In particular, we center our discussion on the \emph{conditional}
statistics, given which phase the system is in. We highlight the interplay
between integration window and metastability lifetime, which is not manifested
in the average current, but strongly influences the fluctuations. We introduce
conditional currents and find, among other predictions, their connection to
average and scaled variance through a finite-time version of Large Deviation
Theory and a minimal model. Our results are then further verified in two
paradigmatic models of discontinuous transitions: Schl\"ogl's model of chemical
reactions, and a $12$-states Potts model subject to two baths at different
temperatures.
