The electronegativity of chlorine is 3.0, which means that it has a high affinity for electrons. However, the difference in electronegativity between chlorine and chlorine is not great enough to cause electron transfer. As a result, the bond between chlorine atoms is covalent.
The covalent bond in Cl2 is a single bond, meaning that there is only one pair of electrons shared between the two atoms. This bond is relatively weak, which is why Cl2 is a gas at room temperature.