1. [late 19C+] (US campus, also shine out) to play truant (from), to skip classes.
2. [1960s+] (US black, also shine on) to fool, to delude.
3. [1970s] to get rid of; to abandon; to ignore.
4. see shine up to
SE in slang uses
[1970s+] (W.I./UK black) a materialistic young woman.
[1920s–50s] (US) to appear.
[1980s+] (US) to shine very brightly.
[mid-18C–early 19C] to shine brightly.
see sense 3 above.
[1990s+] to masturbate.
see sense 1 above.
[1960s+] (US black) to ignore, to disdain.
[2000s] (US black) to fellate.
[mid-19C+] (US) to flatter someone, to curry favour, to court.