Rolling Stone magazine's first issue came out in November 1967, the autumn after the "Summer Of Love" that cemented the hippie movement as a thing. The reasoning for the name of the magazine was outlined in a fittingly rambling mess of an editorial note by founder Jann Wenner. It's an old saying and also a Muddy Waters song lyric but also a Bob Dylan song and also the name of a band. Fan magazines and trade press are pompous, anachronistic mythological crap, but Rolling Stone was here for every person who "believes in the magic that can set you free."
Dig it? No? Then you must be that moss the stone is rolling away from, or something.
There isn't much evidence of any legal dispute between the band and magazine that share a name. However, at one point, Mick Jagger tried to parlay "permission granted" from the former to latter for use of the name into publishing some cover stories, ad space, fashion tips, and whatever else (Star Trek fanfiction?) the drugs of the time were inspiring Jagger to write about. Unfortunately, only the initial letter from Jagger to Wenner survives from that correspondence, so there's no telling how it turned out.
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