About one kilometre east of Kastro fortress (old town), there is a long but thin half-rocky, half-pebble beach divided into 3-4 sections by bigger rocks. It can be easily approached by sea, or you can find a footpath to the small church of Saint Panteleimonas (Άγιος Παντελεήμονας). Just below this church through the olive garden, you will find a narrow path with makeshift handrails and stairs.

When you reach the bottom of the path, the beach spreads on your left hand side. There is a pretty high possibility that you will be alone on this beach, whichever section you decide use. Some sections are a bit rocky and naturally fenced on the back by cliff walls from which natural spring water is dripping, but you can also find smooth pebble parts and enjoy there.
Also, during our way to this beach we were totally alone, so we were able to enjoy a naked walk through the woods.