  While a quantum spin liquid (QSL) phase has been identified in the
$J_1$-$J_2$ Heisenberg model on a triangular lattice via numerical
calculations, debate persists about whether or not such a QSL is gapped or
gapless, with contradictory conclusions from different techniques. Moreover,
information about excitations and dynamics is crucial for the experimental
detection of such a phase. In this work, we use exact diagonalization to
characterize signatures of a QSL phase on the triangular lattice through the
dynamical spin structure factor $\mathcal{S}(q,\omega)$ and Raman
susceptibility $\mathcal{\chi}(\omega)$. We find that spectra for the QSL phase
show distinct features compared to those of neighboring phases; and both the
Raman spectra and spin structure factor show gapped behaviour in the QSL phase.
Interestingly, there is a prominent excitation mode in the Raman $A_2$ channel,
indicating a strong subleading tendency toward a chiral spin liquid phase.
