  The pressure evolution of the Raman active electronic excitations of the
transition metal dichalcogenides 2H-TaS$_2$ is followed through the pressure
phase diagram embedding incommensurate charge-density-wave and superconducting
states. At high pressure, the charge-density-wave is found to collapse at
8.5~GPa. In the coexisting charge-density-wave and superconducting orders, we
unravel a strong in-gap superconducting mode, attributed to a Higgs mode,
coexisting with the expected incoherent Cooper-pair breaking signature. The
latter remains in the pure superconducting state reached above 8.5~GPa. Our
report constitutes the first observation of such Raman active Higgs mode since
the longstanding unique case 2H-NbSe$_2$.
