  Let $\psi$ be a Hecke-Maass form on a compact congruence arithmetic
hyperbolic 3-manifold $X$, and let $Y$ be a hyperbolic surface in $X$ that is
not necessarily closed. We obtain a power saving result over the local bound
for the period of $\psi$ along $Y$, by applying the method of arithmetic
amplification developed by Iwaniec and Sarnak.
