1854, "drinking bout," also (v.) "drink heavily, soak up alcohol;" dialectal use of binge "soak" (a wooden vessel). Noted originally as a Northampton dialect word. Sense extended c. World War I to include eating as well as drinking.
"heap or pile," 1510s, from O.N. bingr "heap." Also used from early 14c. as a word for bin, perhaps from notion of "place where things are piled."