What happens to lithium atom when atoms react with chlorine?

Chlorine and Fluorine generally do not react with each other because they are in the same group but form a highly reactive mixture. If the atoms happen to combine you would get a Chlorine Monofluoride molecule because Chlorine and Fluorine both have 7 valence electrons, due to which they might share one and it would look like this Cl-F. They would share an electron just like Cl2 or F2 do