  Supermassive black holes (SMBHs) can capture and tidally disrupt stars or
sub-stellar objects orbiting nearby. The detections of Sw J1644+57-like events
suggest that at least some TDEs can launch a relativistic jet beaming towards
Earth. A natural expectation would be the existence of TDEs with a relativistic
jet beaming away from Earth. The nearby TDE candidate IGR J12580+0134 provides
new insights into the jet phenomenon. Combining several constraints, we find
that the event invokes a $8-40$ Jupiter mass object tidally disrupted by a $3
\times 10^5 - 1.8 \times 10^7 M_\sun$ SMBH. Recently, a bright radio transient
was discovered by Irwin et al. in association with IGR J12580+0134. We perform
detailed modeling of the event based on a numerical jet model previously
developed for the radio emission of Sw J1644+57. We find that the radio data of
IGR J12580+0134 can be interpreted within an external forward shock model in
the Newtonian regime. Using Sw J1644+57 as a template and properly correcting
for its luminosity, we argue that the observed X-ray flux in early times is too
faint to allow an on-beam relativistic jet unless the Lorentz factor is very
small. Rather, the X-ray emission is likely from the disk or corona near the
black hole. From various constraints, we find that the data are consistent with
an off-beam relativistic jet with a viewing angle $\theta_{\rm obs} \gtrsim
30^{\rm o}$, and an initial Lorentz factor $\Gamma_j \gtrsim $ a few.This
scenario can readily be tested in the upcoming VLBI observations.
