  We use scanning tunneling microscopy to study the domain structure of the
nearly-commensurate charge density wave (NC-CDW) state of 1T-TaS$_2$. In our
sub-angstrom characterization of the state, we find a continual evolution of
the CDW lattice from domain wall to domain center, instead of a fixed CDW
arrangement within a domain. Further, we uncover an intradomain chirality
characterizing the NC-CDW state. Unlike the orbital-driven chirality previously
observed in related transition metal dichalcogenides, the chiral nature of the
NC-CDW state in 1T-TaS$_2$ appears driven by a strong coupling of the NC-CDW
state to the lattice.
