  A regular spectral triple is proposed for a two-dimensional
$\kappa$-deformation. It is based on the naturally associated affine group $G$,
a smooth subalgebra of $C^*(G)$, and an operator $\caD$ defined by two
derivations on this subalgebra. While $\caD$ has metric dimension two, the
spectral dimension of the triple is one. This bypasses an obstruction described
in \cite{IochMassSchu11a} on existence of finitely-summable spectral triples
for a compactified $\kappa$-deformation.
