do-me-dag n.[rhy. sl. = fag n.3 (2); ult. do my dags, a children’s game synon. with ‘follow my leader’; the image is of children encouraging each other to smoke]a cigarette.Show quotations1921N&Q 12 Ser. IX 346: Do-Me-Dags. Fags; cigarettes. 1984Partridge DSUE (8th edn) 318/2: late C.19–20. 1998R. Puxley Fresh Rabbit.