The named address a request is sent to. The far end of a line, where something is listening.
Old English ende (end) joined with point, from Latin punctum (a prick), from pungere (to pierce); the far end of a line, where something waits and listens.
Its second half is a prick, not a place: punctum named a small piercing mark, the size of a needle's point. An endpoint is exactly that small and that precise, a single pierced spot at the far end of a line rather than a general direction to send something toward.