  Quantum spin liquids are long-range entangled states of matter with emergent
gauge fields and fractionalized excitations. While candidate materials, such as
the Kitaev honeycomb ruthenate $\alpha$-RuCl$_3$, show magnetic order at low
temperatures $T$, here we demonstrate numerically a dynamical crossover from
magnon-like behavior at low $T$ and frequencies $\omega$ to long-lived
fractionalized fermionic quasiparticles at higher $T$ and $\omega$. This
crossover is akin to the presence of spinon continua in quasi-1D spin chains.
It is further shown to go hand in hand with persistent typicality down to very
low $T$. This aspect, which has also been observed in the spin-1/2 kagome
Heisenberg antiferromagnet, is a signature of proximate spin liquidity and
emergent gauge degrees of freedom more generally, and can be the basis for the
numerical study of many finite-$T$ properties of putative spin liquids.
