There's a couple of small jetties just by the Şat Beach Restaurant. It's one of them - can't remember which one, but they're close to each other so no issue. They'll pick you up and drop you back basically upon demand or appointment.
P.S. The Ada on Şövalye is also a "beach club". It's a small beach and swimming area with sunbeds and parasols with the restaurant overlooking it. It's very relaxing - just the loudish buzzing of the insects (cicadas?). Definitely worth staying for a few hours at least - as well as going to the restaurant.