  We prove asymptotics of the Christoffel function, $\lambda_L(\xi)$, of a
continuum Schr\"odinger operator for points in the interior of the essential
spectrum under some mild conditions on the spectral measure. It is shown that
$L\lambda_L(\xi)$ has a limit and that this limit is given by the
Radon--Nikodym derivative of the spectral measure with respect to the Martin
measure. Combining this with a recently developed local criterion for
universality limits at scale $\lambda_L(\xi)$, we compute universality limits
for continuum Schr\"odinger operators at scale $L$ and obtain clock spacing of
the eigenvalues of the finite range truncations.
