  We seek to extend work by Christianson-Hassell-Toth \cite{CHT} on
restrictions of Neumann data of Laplacian eigenfunctions to interior
hypersurfaces to a general semiclassical setting. In the semiclassical regime
the appropriate generalisation is to study the restrictions of the function
$v=\nu(x,hD)u$ where $\nu(x,hD)$ is the operator defined by quantising the
normal velocity observable. For the Laplacian $\nu(x,hD)=\frac{1}{2}hD_{\nu}$
where $\nu$ is the normal to the hypersurface. We find that
$||\nu(x,hD)u||_{L^{2}(H)}\lesssim||u||_{L^{2}(M)}$ provided $u$ is an
$O_{L^{2}}(h)$ quasimode of the semiclassical pseudodifferential operator
$p(x,hD)$. This statement should be interpreted as a statement of
non-concentration for the quantisation of normal velocity.
