If someone sashays, they walk in a graceful but rather noticeable way. The models sashayed down the catwalk. to walk in a confident way, moving your body from side to side, especially so that people look at you sashay around/along/down etc (chassé, from the past participle of chasser; CHASE)
[ sa-'shA also sI- ] (intransitive verb.) 1836. French chasser, chase, from Latin verb captare, from perfect passive participle captus, from verb capere, take.