  Motivated by recent experiments on the Kitaev honeycomb magnet
$\alpha\text{-RuCl}_3$, we introduce time-domain probes of the edge and
quasiparticle content of non-Abelian spin liquids. Our scheme exploits
ancillary quantum spins that communicate via time-dependent tunneling of energy
into and out of the spin liquid's chiral Majorana edge state. We show that the
ancillary-spin dynamics reveals the edge-state velocity and, in suitable
geometries, detects individual non-Abelian anyons and emergent fermions via a
time-domain counterpart of quantum-Hall anyon interferometry. We anticipate
applications to a wide variety of topological phases in solid-state and
cold-atoms settings.
