Green’s Dictionary of Slang

1. (US) to leave quickly, to run off.

1905		H. Green Actors’ Boarding House (1906) 200: ‘And leave me married to that old crow while you skiddoo,’ groaned Pinafore.
1905		F. Hutchison Philosophy of Johnny the Gent 93: ‘Well, I always know enough to skadoo when I’m not wanted’.
1913		(con. 1871) Jocknick Early Days on the Western Slope of Colorado 31: They promptly ‘skidooed’.
1928		J. O’Connor Broadway Racketeers 68: The kid was a little nervous and seemed glad when I suggested we skidoo.
1930		(con. 1900s–10s) Dos Passos 42nd Parallel in USA (1966) 64: All right, bright eyes, we’ll skiddoo.
1930		G. Milburn ‘De Night Before Christmas’ in Hobo’s Hornbook 259: And w’ile we was t’inkin’ de minutes skidooed.
1954		M. Millar Wives & Lovers (2016) 203: ‘You just skiddoo on home and go to bed’.
1949		New Yorker 2 Apr. 26/3: I skiddoo and take a trip [DA].
1950		Hal Ellson Tomboy (1952) 83: If you get an idea you’re followed any time, skidoo toward the river.

2. (US) as vtr, to throw out, to get rid off, to ban.

1910		Harrisburg Dly Indep. (PA) 26 May 4/3: Slang in baseball is a dead duck [...] ‘The Saturday Evening Post’ [...] demands that slang be skidooed on account of its ‘degredation of the sport’.
1972		Vidette-Messenger (Valparaiso, IN) 11 Oct. 14/4: If we weren’t careful of our behavior, we were ‘skiddoed’ out of the educational arena.