  We show the ferro-rotational nature of the commensurate charge density wave
(CCDW) in $1T$-$\mathrm{TaS}_2$ and track its dynamic modulations by
temperature-dependent and time-resolved electric quadrupole rotation
anisotropy-second harmonic generation (EQ RA-SHG), respectively. The ultrafast
modulations manifest as the breathing and the rotation of the EQ RA-SHG
patterns at three frequencies around the reported single CCDW amplitude mode
frequency. A sudden shift of the triplet frequencies and a dramatic increase in
the breathing and rotation magnitude further reveal a photo-induced transient
CDW phase across a critical pump fluence of ~ 0.5 mJ/cm$^2$.
