return, turn around, a time
廽 centers on circular or back-and-forth movement: returning, turning around, or going around. The sense of 'a time' extends naturally from the idea of a cycle or round.
廽 is a variant form of 廻, which combines 廴 (movement) with 回 (to go around). The inner component 囬 is an older or variant form of 回, reinforcing the idea of turning or returning.
The 廴 enclosure suggests movement, and the inner 囬 looks like a spiral or loop. Picture a path that goes out and then turns back around, returning to the start.
For カイ, imagine a kite (カイト) flying in a circle and returning to your hand: kite -> カイ, and the kite turns around in the sky.