Green’s Dictionary of Slang

sheg v.

[SE shag, to shake about]
(W.I./UK black)

1. to annoy, to provoke.

[WI]cited in Cassidy & LePage Dict. Jam. Eng. (1980).
[WI]L.E. Adams Jam. Patois 47: Doan come sheg rohn mi wid yu rank fish an’ dem! – Don’t come fool around me with your raw-smelling fishy hands!

2. to seduce.

[WI]cited in Cassidy & LePage Dict. Jam. Eng. (1980).
[UK]T. White Catch a Fire 239: The bad boys who liked to [...] sheg their stuckies to the motion of the cuckie skank.

3. to do badly.

[UK]T. Rhone Gloss. in Old Story Time (1981) n.p.: sheg: botch.

4. see shag v.1

In phrases

get sheg (v.)

to die.

Jamaica Gleaner Online 4 Sept. 🌐 So either Kartel get sheg, or the law of Karma has got a good hold of him.
Jamaica Gleaner Online 25 Sept. 🌐 [I]f you drop dung inna Jamaica and need an ambulance fast, you need [...] private arrangements [...] or undahstan’ se yuh get sheg.
sheg up (v.)

to fail, to collapse.

Jamaican Gleaner Online 10 July 🌐 [P]oor people fed up. To how yu system sheg up. Well every day ghetto youths dead up.