"thin cake or waffle with a honeycomb pattern," 1769, from French gaufre, literally "honeycomb" (see wafer (n.)).
"errand-runner," 1956, American English coinage from verbal phrase go for (coffee, spare parts, etc.), with a pun on gopher. Gopher also was late 19c. slang for a young thief, especially one who breaks in through small openings.