  We present the discovery of two extended $\sim$0.12 mag dimming events of the
weak-lined T-Tauri star V1334. The start of the first event was missed but came
to an end in late 2003, and the second began in February 2009, and continues as
of November 2016. Since the egress of the current event has not yet been
observed, it suggests a period of $>$13 years if this event is periodic.
Spectroscopic observations suggest the presence of a small inner disk, although
the spectral energy distribution shows no infrared excess. We explore the
possibility that the dimming events are caused by an orbiting body (e.g. a disk
warp or dust trap), enhanced disk winds, hydrodynamical fluctuations of the
inner disk, or a significant increase in the magnetic field flux at the surface
of the star. We also find a $\sim$0.32 day periodic photometric signal that
persists throughout the 2009 dimming which appears to not be due to ellipsoidal
variations from a close stellar companion. High precision photometric
observations of V1334 Tau during K2 campaign 13, combined with simultaneous
photometric and spectroscopic observations from the ground, will provide
crucial information about the photometric variability and its origin.
