Extremely cute, just utterly adorable. Adjective.
Etymology: slurred voiced form of "so cute". "So cute" --> "zo gyude" --> "zogyuu".
Alternate spelling: "zogyu".
"You're zogyuu I LOVE YOU COME HERE!!!!"
"I wanna headpat you, you're just zogyu!"
"zomg you're zogyuu!! j'adore your fluffy snuggliness!"