About three months ago, a couple of my friends started giving me male on
male hugshakes. This consists of the two males handshaking each other with
their right hands, pulling the other male towards their shoulder, each
touching the other's shoulder right front with their own shoulder front, and
the left hands patting the other one on the back.

Is this a new style of handshake, or does it have any secret or ritualistic
overtones?

Steve