  Circularly polarized waves consistent with parallel-propagating ion cyclotron
waves (ICWs) and fast magnetosonic waves (FMWs) are often observed by Parker
Solar Probe (PSP) at ion kinetic scales. Such waves damp energy via the
cyclotron resonance, with such damping expected to play a significant role in
the enhanced, anisotropic heating of the solar wind observed in the inner
heliosphere. We employ a linear plasma dispersion solver, PLUME, to evaluate
frequencies of ICWs and FMWs in the plasma rest frame and Doppler-shift them to
the spacecraft frame, calculating their damping rates at frequencies where
persistently high values of circular polarization are observed. We find such
ion-scale waves are observed during $20.37\%$ of PSP Encounters 1 and 2
observations and their plasma frame frequencies are consistent with them being
transient ICWs. We estimate significant ICW dissipation onto protons,
consistent with previous empirical estimates for the total turbulent damping
rates, indicating that ICW dissipation could account for the observed
enhancements in the proton temperature and its anisotropy with respect to the
mean magnetic field.
