crossroads
衢 centers on a place where paths intersect: a crossroads or thoroughfare where multiple routes meet.
衢 combines 行 (going, road) with 瞿, which likely contributes sound and may relate to looking around, fitting a crossroads where one looks in different directions.
The outer 行 suggests a road or path, and the inner 瞿 looks like a pair of eyes (目) above a bird-like shape, as if scanning multiple directions at a junction. Picture standing at a crossroads, looking left and right before choosing a way.
For ク, imagine a cool crossroads at night: cool -> ク, and the crossroads stretch out under the cool sky.