To shake or sway the body from side to side, often in a dance-like motion. She shimmied across the dance floor, moving gracefully to the rhythm of the music.
To move or climb using a wriggling or shaking motion. He shimmied up the pole to reach the top of the platform.
To vibrate or wobble abnormally, often used in reference to vehicles. The car began to shimmy at high speeds, indicating a possible issue with the tires.