The electronegativity of sulfur is 2.58, while the electronegativity of chlorine is 3.0. This means that chlorine atoms have a higher electronegativity than sulfur. As a result, the electrons in the S-Cl bonds are pulled more towards the chlorine atoms, creating a partial negative charge on the chlorine atoms and a partial positive charge on the sulfur atom.
The difference in electronegativity between sulfur and chlorine is 0.42 (3.0 - 2.58). This value is significant enough to create a polar bond. However, since the molecule has a linear shape, the two polar S-Cl bonds cancel each other out, resulting in a nonpolar molecule.
Therefore, SCl2 is a nonpolar molecule.