seek, enquire, go around, border
徼 centers on movement with a purpose: going around to seek or enquire, and by extension a boundary or border that one patrols or circumscribes.
徼 combines 彳 (movement) with 敫, which likely contributes sound and the idea of shining or striking, suggesting moving around to illuminate or patrol boundaries. The exact historical development is uncertain.
The left side 彳 suggests movement, and the right side 敫 looks like a person with a light (白) and a tool (攵) going around. Picture a guard patrolling a border, seeking out intruders with a lantern.
For キョウ, imagine a guard shouting 'Kyō!' (like a sharp 'Kyo!') when they find someone at the border: Kyō -> キョウ, as they go around seeking.