  We find S-matrix evidence that longitudinal string spreading can induce
interactions between early and late time systems in the near-horizon region of
a black hole. By generalizing the effect to closed strings and performing an
eikonal resummation, we find a tractable regime where these interactions become
strong at a Schwarzschild time separation $\Delta t \gg r_s$. We estimate the
mutual information in a scenario analogous to Hayden-Preskill, and we find that
string spreading is sufficient in itself for a late-time detector to recover a
significant fraction of the information encoded in an infaller's state.
Interesting open directions include analysis of the interaction of the detector
with Unruh radiation (which may introduce noise that somewhat degrades the
recovery), and formulating the optimal detector setup including many entangled
detectors (which could further increase the information recovery by enhancing
sensitivity to kinematic parameters with subleading dependence in the
amplitude).
