  We use {\it Gaia} DR2 photometry and proper motions to search for the
hypothetical tidal tails of the Galactic globular cluster E\,3. Using a
modified version of a classical decontamination procedure, we are able to
identify the presence of an extended structure emerging from the cluster up to
$r \sim 1$\,deg from its center, thus suggesting that this poorly studied
cluster is undergoing a tidal disruption process. These low surface-brightness
structures are aligned with the direction to the Galactic center, as expected
for a cluster close to its perigalacticon. Different scenarios to explain the
important amount of mass lost by this cluster are discussed.
