  We demonstrate by explicit calculation of the DeWitt-like measure in
two-dimensional quantum Regge gravity that it is highly non-local and that the
average values of link lengths $l, <l^n>$, do not exist for sufficient high
powers of $n$. Thus the concept of length has no natural definition in this
formalism and a generic manifold degenerates into spikes. This might explain
the failure of quantum Regge calculus to reproduce the continuum results of
two-dimensional quantum gravity. It points to severe problems for the Regge
approach in higher dimensions.
