name of an old town in Sichuan, cuckoo, revolution of a wheel
嶲 is a rare kanji with no clear single conceptual center. Its given meanings—an old Sichuan town name, a cuckoo, and a wheel's revolution—are disparate and likely unrelated. Treat its meaning as uncertain and context-dependent.
嶲 combines 山 (mountain) with 雋, which may have contributed sound. The exact historical development is uncertain, and the modern form is rare.
The top is a mountain 山, and the bottom is a complex shape 雋. Picture a mountain in Sichuan where a cuckoo bird calls, and an old wheel turns nearby—tying the disparate meanings together in one scene.
For ケイ, imagine a cuckoo bird shaped like the letter K calling out 'Kay!' from the mountain: Kay -> ケイ.