Reversible orientation eyewear for which each of the temple arms moves from an initial orientation relative to the lens frame to a reverse orientation relative to the lens frame by undergoing movements that include rotating a locking piece from the one of the two relative positions to the remainder of the two relative positions and thereby becoming free of magnetic attraction by the magnetically attractive elements; pivoting the temple arms about associated ones of the two ends of the lens frame; and rotating the locking piece from the remainder of the two relative positions to the one of the relative positions to restore magnetic attraction by the magnetically attractive elements.