Green’s Dictionary of Slang

(US black) a ladies’ man, a wanderer.

c.1910		Jelly Roll Morton ‘Wining Boy Blues’ 🎵 Winin’ Boy, don’t deny my name, / Pick it up and shake it like Stavin Chain’s.
1920		‘The Bullin Mr. Stavin’ Chain’ in J.F. Dobie Rainbow in Morning (1965) 179: Well, you kain’t make it down / Like the bullin’ Mr. Stavin’ Chain.
1929		Dly Indep. (Murphysboro, IL) 7 Dec. 1/5: Flanagan broke ina door at the miserable hut of ‘Stavin Chain’ Brown (colored). [...] He found ‘Stavin Chain’ — and the white woman.
1937		Lil Johnson ‘Stavin’ Chain’ 🎵 Stavin’ Chain was a man of might, / He’d save up his money just to ride all night, / Now, you can’t ride, honey, you can’t ride this train, / I’m the chief engineer, I’m gonna run it like Stavin’ Chain!
1941		A. Lomax Mister Jelly Roll (1952) 48: Pick it up and shake it like Stavin Chain, / I’m a wining boy, don’t deny my doggone name.
1966		Trimble 5000 Adult Sex Words and Phrases.