  We report the properties of a triangular lattice iron-chalcogenide
antiferromagnet FeAl$_{2}$Se$_{4}$. The spin susceptibility reveals a
significant antiferromagnetic interaction with a Curie-Weiss temperature
{\Theta}$_{CW}$ ~ -200K and a spin-2 local moment. Despite a large spin and a
large |{\Theta}$_{CW}$|, the low-temperature behaviors are incompatible with
conventional classical magnets. No long-range order is detected down to 0.4K.
Similar to the well-known spin-1 magnet NiGa$_{2}$S$_{4}$, the specific heat of
FeAl$_{2}$Se$_{4}$ exhibits an unusual double-peak structure and a T$^{2}$
power law at low temperatures, which are attributed to the underlying
quadrupolar spin correlations and the Halperin-Saslow modes, respectively. The
spin freezing occurs at ~ 14K, below which the relaxation dynamics is probed by
the ac susceptibility. Our results are consistent with the early theory for the
spin-1 system with Heisenberg and biquadratic spin interactions. We argue that
the early proposal of the quadrupolar correlation and gauge glass dynamics may
be well extended to FeAl$_{2}$Se$_{4}$. Our results provide useful insights
about the magnetic properties of frustrated quantum magnets with high spins.
