>>716204908 (OP)>>716205216>>716207861Hand-eye coordination is just part of it. It's the ability to complete complex motor functions.
Some examples requiring dexterity are juggling, spinning a coin across your fingers, slight of hand, swordsmanship, surgery, tennis/ping-pong, playing the guitar. Some of these primarily rely on hand-eye coordination like juggling, swordsmanship or tennis/ping-pong and some of these rely primarily on fine motor functions like slight of hand, surgery or playing the guitar.
Ironically, the most common DEX trope in RPGs, archery, is as far from dexterity as you can get. Aiming (i.e. judging distance and anticipating trajectory) has nothing to do with dexterity.