  We have performed polarized Raman scattering measurements on the newly
discovered superconductor Ta$_{4}$Pd$_{3}$Te$_{16}$ ($T_c = 4.6$ K). We observe
twenty-eight out of thirty-three Raman active modes, with frequencies in good
accordance with first-principles calculations. Although most of the phonons
observed vary only slightly with temperature and do not exhibit any asymmetric
profile that would suggest strong electron-phonon coupling, the linewidth of
the A$_{g}$ phonon mode at 89.9 cm$^{-1}$ shows an unconventional increase with
temperature decreasing, which is possibly due to a charge-density-wave
transition or the emergence of charge-density-wave fluctuations below a
temperature estimated to fall in the 140-200 K range.
