Answer
Name of the compound is $Chromium(III)\hspace{1mm} chloride$.
Work Step by Step
$CrCl_{3}$ is an ionic compound. The metal chromium forms more than one type of ion. Here, charge on cation $Cr^{3+}$ is (III). Name of anion ($Cl^{-}$) is chloride. So, name of the compound is $Chromium(III)\hspace{1mm} chloride$.
