  We discuss $SL(N,\mathbb{C})$ Chern-Simons higher spin gauge theories in
Euclidean AdS$_3$. With appropriate boundary term, we derive the higher spin
generalization of Schwarzian on-shell action. We investigate gravitationally
dressed bi-locals, and we study the soft higher spin mode expansion to obtain
soft mode eigenfunctions. We also derive the spin-$s$ eigenfunction from
$\mathcal{W}$-Ward identity and a recursion relation. Using the on-shell
action, we evaluate the contributions of the soft higher spin modes to the
out-of-time-order correlators, and the corresponding Lyapunov exponent of
$SL(N)$ higher spin gravity is found to be ${2\pi \over \beta}(N-1)$.
