Clytie was a name given to a number of figures in Greek mythology. However, the best known character with that name was an Oceanid.
As an Oceanid, a water nymph, she was the daughter of the Titans Oceanus and Tethys. She was the lover of the sun god Helios, who eventually deserted her to pursue Leucothea, daughter of Orchamus. Clytie was enraged and told Orchamus about the love affair. He sentenced his daughter to death by burying her alive. Clytie thought that the death of Leucothea would make Helios return back to her, but it only made him think even less of her. In the end, Clytie lay herself naked for nine days on the rocks, simply staring at the sun, without drinking or eating anything. On the ninth day, she was transformed into a flower, the heliotrope or turnsole, which turns towards the direction of the sun.