"Juice" in reference to alcohol and liquor. Getting juiced is thus getting drunk/hammered where one has reached his limit or threshold before getting sick.
Lil Dawg: Man I just paid $100 for this fake Gucci shirt
Big Dawg: My n**** u just got JUICED!
ex2:
Lil Dawg: Dang Bro my old girl borrowed $300 from me just now to fix her car but I caught her at Nordstroms shoppin
Big Dawg: dang bro she workin with that power juicer..and u a sucka!