When one farts and then proceeds to "hand it off" from the source of the smell to the smellee. The only way to explain such an act is to think of baseball where you "catch" it from behind you and deliver it to the nose of the unsuspecting victim. (This was one of the hazards while growing up a Marine brat!)
1. Joe gave a handoff to Pat.
2. Welcome to the "catch and release program" where we're always giving back!
3. After the Dutch oven, she retaliated with a handoff.