Directed by Alexander Singer. With Lana Turner, Cliff Robertson, Hugh O'Brian, Ruth Roman. Rich playgirl Kit Jordan (nee Katherine Lawson Chandler) is in Acapulco vacationing with her current husband, Pete Jordan, formerly an American beach boy working the Acapulco shores for rich women. Meanwhile, the body of one of Pete's fellow beach boys, Billy Andrews, washes to shore. On his wrist is a bracelet engraved with "Love is thin ice." The police investigate whether it was murder or…