The wood radical 木 on the left signals this is a wooden vehicle, and the phonetic component 毳 hints at the sound qiāo - picture a wooden sled gliding gracefully.
Wood radical on the left places 橇 in the family of timber objects - early sleds were carved from wood planks before metal runners. Same radical groups it with 桥, 椅, 棺 and other wood-built constructions a person sits or rides on.
phonetic
毳cuì
fine fur; downy hair
Three stacked 毛 give the cuì sound and a faint sense of soft padding - sleds traditionally rode on snow with fur-lined seats. Pronunciation drifted from cuì to qiāo, but the three-fur stack remains a distinctive memory hook for this rare character.