In an era when multi-brand retail is on shaky ground, Revolve is thriving. Against a backdrop of bankruptcies, mergers, and closures in luxury and department store retail, Revolve continues to grow.

The phrase is one that Michael Mente, cofounder and co-chief executive officer of Revolve Group, and Raissa Gerona, chief brand officer, have often heard in reference to women wearing pieces from the ...