Not only it makes the food taste better, but if a human or any other multicellular animal does not ingest daily enough chlorine in chloride form a quick death is certain.
Chlorine, as chloride, is absolutely necessary for the control of the pH and of the osmotic pressure of the extracellular water contained in the body of animals.
Moreover, chlorine, as chloride, is necessary for the digestion of the food and for killing most of the microbes ingested together with the food (by making acidic the interior of the stomach).
The plants need much less chlorine than the animals, but nonetheless a very small amount of chlorine is absolutely necessary for photosynthesis, being bound in the structure of the Photosystem II, which splits the water, releasing free dioxygen.