  In a recent paper, Cs\"ornyei and Wilson prove that curves in Euclidean space
of $\sigma$-finite length have tangents on a set of positive
$\mathscr{H}^{1}$-measure. They also show that a higher dimensional analogue of
this result is not possible without some additional assumptions. In this note,
we show that if $\Sigma\subseteq \mathbb{R}^{d+1}$ has the property that each
ball centered on $\Sigma$ contains two large balls in different components of
$\Sigma^{c}$ and $\Sigma$ has $\sigma$-finite $\mathscr{H}^{d}$-measure, then
it has $d$-dimensional tangent points in a set of positive
$\mathscr{H}^{d}$-measure. We also give shorter proofs that Semmes surfaces are
uniformly rectifiable and, if $\Omega\subseteq \mathbb{R}^{d+1}$ is an exterior
corkscrew domain whose boundary has locally finite $\mathscr{H}^{d}$-measure,
one can find a Lipschitz subdomain intersecting a large portion of the
boundary.
