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We have observed the Virgo Cluster spiral galaxy, NGC~4845, at 1.6 and 6 GHzusing the Karl G. Jansky Very Large Array, as part of the `Continuum Halos inNearby Galaxies -- an EVLA Survey' (CHANG-ES). The source consists of a brightunresolved core with a surrounding weak central disk (1.8 kpc diameter). Thecore is variable over the 6 month time scale of the CHANG-ES data and hasincreased by a factor of $\approx$ 6 since 1995. The wide bandwidths ofCHANG-ES have allowed us to determine the spectral evolution of this core whichpeaks {\it between} 1.6 and 6 GHz (it is a GigaHertz-peaked spectrum source).Weshow that the spectral turnover is dominated by synchrotron self-absorption andthat the spectral evolution can be explained by adiabatic expansion (outflow),likely in the form of a jet or cone. The CHANG-ES observations serendipitouslyoverlap in time with the hard X-ray light curve obtained by Nikolajuk \& Walter(2013) which they interpret as due to a tidal disruption event (TDE) of asuper-Jupiter mass object around a $10^5\, M_\odot$ black hole. We outline astandard jet model, provide an explanation for the observed circularpolarization, and quantitatively suggest a link between the peak radio and peakX-ray emission via inverse Compton upscattering of the photons emitted by therelativistic electrons. We predict that it should be possible to resolve ayoung radio jet via VLBI as a result of this nearby TDE.

CHANG-ES V: Nuclear Radio Outflow in a Virgo Cluster Spiral after a Tidal Disruption Event