A popular euphemism for a parent (usually the Dad) walking out and abandoning their kids/family, where the abandonment takes place under the cover of a harmless, non-suspicious errand like going to get cigarettes.
Kent Cigarettes, created in 1952 by Loillard, named after the companypresident, Herbert Kent, were the first smoke to have a filter. Kents became very popular among the rich and famous, includin' the coolest man to ever live, Dino Martin.