wait for, await, expect, hope
徯 centers on waiting with anticipation: expecting someone or something, hoping for an outcome, or pausing in a state of readiness.
徯 combines 彳 (movement, going) with 奚, which likely contributes the sound and may relate to a servant or waiting. The exact historical development is uncertain.
The left side 彳 suggests movement or a path, and the right side 奚 looks like a person waiting. Picture someone pacing along a path, stopping to wait and hope for a friend to arrive.
For ケイ, imagine waiting at a gate (門, もん) that is shaped like a big letter K: K-gate -> ケイ, and you stand there hoping to be let in.