  Sunspots have played a key role in aiding our understanding of
magnetohydrodynamic (MHD) wave phenomenon in the Sun's atmosphere, and it is
well known they demonstrate a number of wave phenomenon associated with slow
MHD modes. Recent studies have shown that transverse wave modes are present
throughout the majority of the chromosphere. Using high-resolution Ca II 8542
{\AA} observations from the Swedish Solar Telescope, we provide the first
demonstration that the chromospheric super-penumbral fibrils, which span out
from the sunspot, also show ubiquitous transverse motions. We interpret these
motions as transverse waves, in particular the MHD kink mode. We compile the
statistical properties of over 2000 transverse motions to find distributions
for periods and amplitudes, finding they are broadly consistent with previous
observations of chromospheric transverse waves in quiet Sun fibrils. The very
presence of the waves in super-penumbral fibrils raises important questions
about how they are generated, and could have implications for our understanding
of how MHD wave energy is transferred through the atmosphere of a sunspot.
