  Dynamical Chern-Simons (dCS) gravity is a promising extension of general
relativity (GR), arising naturally from the low-energy limit of some string
motivated theories. Even though dCS possesses an additional scalar degree of
freedom, interestingly, the Schwarzschild black hole is an exact solution of
it. Concerning dynamical phenomena, however, gravitational and scalar
perturbations couple with each other, generating possible scenarios to
understand the differences between dCS and GR. We study dynamical signatures of
dCS considering that the scalar field potential has a mass term. We analyze the
influence of the theory's parameter into the quasibound states and in the time
evolution of purely gravitational initial profiles. We find that the coupling
can make the dipolar modes \textit{less stable} and that at late times initial
gravitational perturbations become contaminated with the scalar sector,
presenting an oscillation that depends on the quasibound state frequencies.
These results may be interesting in the light of superradiant instabilities in
rotating systems and to find signatures of alternative theories in
gravitational wave detections.
