  In this note we continue analysing the non-equilibrium dynamics in the
$(T^2)^n/\mathbb{Z}_n$ orbifold conformal field theory. We compute the
out-of-time-ordered four-point correlators with twist operators. For rational
$\eta \ (=p/q)$ which is the square of the compactification radius, we find
that the correlators approach non-trivial constants at late time. For $n=2$
they are expressed in terms of the modular matrices and for higher $n$
orbifolds are functions of $pq$ and $n$. For irrational $\eta$, we find a new
polynomial decay of the correlators that is a signature of an intermediate
regime between rational and chaotic models.
