  Recent work has suggested an intriguing relation between quantum chaos and
energy density correlations, known as pole skipping. We investigate this
relationship in two dimensional conformal field theories on a finite size
spatial circle by studying the thermal energy density retarded two-point
function on a torus. We find that the location $\omega_* = i \lambda$ of pole
skipping in the complex frequency plane is determined by the central charge and
the stress energy one-point function $\langle T\rangle$ on the torus. In
addition, we find a bound on $\lambda$ in $c>1$ compact, unitary CFT$_2$s
identical to the chaos bound, $\lambda \leq 2\pi T$. This bound is saturated in
large $c$ CFT$_2$s with a sparse light spectrum, as quantified by
arXiv:1405.5137, for all temperatures above the dual Hawking-Page transition
temperature.
