After eight years of marriage, Robert and Nina divorce. He takes up with his womanising Navy buddy Charlie Nelson while she looks to her interfering mother for guidance. Both start dating other people, but although they try and ignore each other whenever they accidentally meet, it is obvious the past is not dead.
The title comes from Walter Winchell's newspaper column which was widely read during the 50s. When a celebrity couple's marriage ended, Winchell would describe the break-up as "phffft".