  We classify the distance-regular Cayley graphs with least eigenvalue $-2$ and
diameter at most three. Besides sporadic examples, these comprise of the
lattice graphs, certain triangular graphs, and line graphs of incidence graphs
of certain projective planes. In addition, we classify the possible connection
sets for the lattice graphs and obtain some results on the structure of
distance-regular Cayley line graphs of incidence graphs of generalized
polygons.
