  The nearby galaxy NGC 3115 contains a known radio-emitting, low-luminosity
active galactic nucleus (AGN), and was recently claimed to host a candidate AGN
displaced 14.3 pc from the galaxy's optical photocenter. Our goal is to
understand whether this represents a single offset AGN, an AGN in orbit around
a central black hole, or something else. We present a new, sensitive (RMS = 4.4
$\mu$Jy beam$^{-1}$) 10 GHz image, which finds evidence for only one AGN. We
place a stringent limit on the radio luminosity of any secondary supermassive
black hole of $L_{10~\rm{GHz}}<5.8\times10^{33}$ ergs/s. An analysis of the
relative positioning of the radio core, X-ray nucleus, and stellar bulge in
this galaxy indicate that the radio source is centrally located, and not offset
from the galactic bulge. This provides an argument against a single offset AGN
in NGC 3115, however does not provide conclusive evidence against the purported
offset AGN as an in-spiralling secondary black hole.
