The notion of a men’s club—the sort of private refuge that was widely enjoyed a century ago—is suddenly gaining traction again among luxury brands around the world. Hidden within some of their most exclusive shopping destinations are separate, distinctly masculine venues that invite patrons to unwind in club chairs, sip a rare wine or whisky, or savor a vintage cigar. There are boutiques that offer the services of a traditional Sicilian barber or a top-notch professional shoe shine, along with their custom goods. Shopping? It seems almost incidental to the experience.