  We use the monodromy method to compute expectation values of an arbitrary
number of light operators in finitely excited ("heavy") eigenstates of
holographic 2D CFT. For eigenstates with scaling dimensions above the BTZ
threshold, these behave thermally up to small corrections, with an effective
temperature determined by the heavy state. Below the threshold we find
oscillatory and not decaying behavior. As an application of these results we
compute the expectation of the out-of-time order arrangement of four light
operators in a heavy eigenstate, i.e. a six-point function. Above the threshold
we find maximally scrambling behavior with Lyapunov exponent $2\pi T_{\rm
eff}$. Below threshold we find that the eigenstate OTOC shows persistent
harmonic oscillations.
