It is winter in Montauk, at the far end of Long Island. There are two deck chairs on the windswept beach. The chairs are waiting for two people who have, for a long time, been lost to each other. He is a writer and has come from Berlin. She is a New York lawyer. Many years before, they had a fling, but they were too young to know they had each met the love of their lives. Now they have come back to Montauk, filled with regret and hope. The bodies remember. It feels for them like the next day after the last one they were together. They do not know if it is possible to reverse time. In Montauk, they find out.
Styx depicts the transformation of a strong woman torn from her contented world during a sailing trip. When she becomes the only person to come to the aid of a group of refugees shipwrecked on the high seas, she is shown the limits of her importance and of the empathy of her cultural milieu. She is left slipping impotently from one nightmare to the next, and by the end she is forced to recognize that there is no way to counter the cruelties of real life. Only chance can save her.