  In this paper, we establish a version of the central limit theorem for
Markov-Feller continuous time processes (with a Polish state space) that are
exponentially ergodic in the bounded-Lipschitz distance and enjoy a continuous
form of the Foster-Lyapunov condition. As an example, we verify the assumptions
of our main result for a specific piecewise-deterministic Markov process, whose
deterministic component evolves according to continuous semiflows, switched
randomly at the jump times of a Poisson process.
