Swigajag Share definition Flag To take a drag off of a cigarette. Bumming a drag of a cigarette. See also Swagajig for bumming a sip of a beverage. "Let me Swigajag off that cigarette" Swigajag by TheWileyman January 15, 2008 0 0 Get merch Get the Swigajag mug. Buy Now — $32.95 See more merch