八 (bā): Eight. In this context, it doesn't literally mean eight, but rather “many,” “all,” or “in all directions.”
面 (miàn): Face, side, or surface. Here it means the different “sides” or “faces” a person presents to others.
玲 (líng): The tinkling sound of jade; it implies something is exquisite, clever, or finely detailed.
珑 (lóng): Also describes the tinkling of jade; it means bright, clear, and artfully crafted.
Combined Meaning: The term 玲珑 (línglóng) originally described a piece of art (like a jade carving or a window lattice) that was beautifully and intricately made, open and visible from all sides. Adding 八面 (bā miàn), “eight sides,” extends this metaphor to a person's personality. Someone who is 八面玲珑 is socially “well-crafted,” able to handle interactions from every direction with grace and skill.