Answer
The full name is chromium(II) chloride.
Work Step by Step
The charge on Cr must be 2+ for the compound to be charge-neutral with two Cl- anions. The name for $CrCl_{2}$ is the name of the cation, chromium, followed by the charge of the cation in parentheses (II) and the base name of the anion, chlor, with the ending - ide. The full name is chromium(II) chloride.