Of the twelve well-known atomic constituents of our body eleven elements have specific properties obviously relevant to their rôle, making them indispensable. Oxygen (electronegativity and valence), carbon and hydrogen (both elements have virtually unique properties), nitrogen (amino group), calcium (calcium(II) is necessary for bones in vertebrates), phosphorus (use of phosphate in nucleotides and ATP), sulfur (–S–S– bridges), sodium (Na+ is a small cation), potassium (K+ is somewhat larger, together with its companion and presumed substitute Rb+), iron (used in hemoglobin because of properties of a transition metal), magnesium (Mg2+ takes part in the ATP cycle, if not anything else).
What about chlorine? A search resulted in
Chloride is involved in the exchange of oxygen and carbon dioxide in the red cells. In this, chloride passes into the plasma (chloride shift) and bicarbonate into the cells.
(https://www.sciencedirect.com/topics/biochemistry-genetics-and-molecular-biology/chloride), certain use by muscle cells and also some mention of ligand-gated chloride ion channels in neurons. Chloride in stomach secretion may be dismissed because is used as a generic acid (that is, to complement H+), not for its own special properties. And no mention of biological chlorine compounds other than ionic (such as, having a C–Cl bound) can be quickly found.
Which cells absolutely need specifically Cl− to function? Is the anion mandatory for animals to live?