  In the paper we consider some piecewise deterministic Markov process whose
continuous component evolves according to semiflows, which are switched at the
jump times of a Poisson process. The associated Markov chain describes the
states of this process directly after the jumps. Certain ergodic properties of
these two objects have already been investigated in our recent papers. We now
aim to establish the law of the iterated logarithm for the aforementioned
continuous-time process. Moreover, we intend to do this using the already
proven properties of the discrete-time system. The abstract model under
consideration has interesting interpretations in real-life sciences, such as
biology. Among others, it can be used to describe the stochastic dynamics of
gene expression.
