OED lists this sense as coming out of the 'keeping up with the Jones' usage. the first citation lends credence to this, I guess; inflected forms came later.

2. slang. A drug addict's habit.
1968 Sun Mag. (Baltimore) 13 Oct. 19/4 Soon you're out to keep from getting the Jones. 1970 C. Major Dict. Afro-Amer. Slang 71 Jones, a fixation; drug habit; compulsive attachment. 1971 Black World Mar. 54/1, I don't have a long jones. I ain't been on it too long. 1971 E. E. Landy Underground Dict. 113 Jones, the habit of a drug addict—eg. His jones is heavy. 1974 Publishers Weekly 12 Aug. 50/2 Knows the reality of Detroit's heroin sub-culture as few of those who are not ‘Jones men’ do. (‘Jones’ stands for both heroin and the habit.)