  In a seminal paper (Page and Wootters 1983) Page and Wootters suggest time
evolution could be described solely in terms of correlations between systems
and clocks, as a means of dealing with the "problem of time" stemming from
vanishing Hamiltonian dynamics in many theories of quantum gravity. Their
approach to relational time centres around the existence of a Hamiltonian and
the subsequent constraint on physical states. In this paper we present a
"state-centric" reformulation of the Page and Wootters model better suited to
theories which intrinsically lack Hamiltonian dynamics, such as Chern--Simons
theories. We describe relational time by encoding logical "clock" qubits into
anyons---the topologically protected degrees of freedom in Chern--Simons
theories. The timing resolution of such anyonic clocks is determined by the
universality of the anyonic braid group, with non-universal models naturally
exhibiting discrete time. We exemplify this approach using SU(2)$_2$ anyons and
discuss generalizations to other states and models.
