  The symmetric signature is an invariant of local domains which was recently
introduced by Brenner and the first author in an attempt to find a replacement
for the $F$-signature in characteristic zero. In the present note we compute
the symmetric signature for two-dimensional cyclic quotient singularities, i.e.
invariant subrings $k[[u,v]]^G$ of rings of formal power series under the
action of a cyclic group $G$. Equivalently, these rings arise as the
completions (at the irrelevant ideal) of two-dimensional normal toric rings. We
show that for this class of rings the symmetric signature coincides with the
$F$-signature.
