To relinquish (a right etc.); to give up claim to; to forego.

“If you waive the right to be silent, anything you say can be used against you in a court of law.”

To put aside, avoid.

To outlaw (someone).

To move from side to side; to sway.

To stray, wander.

To move back and forth repeatedly and somewhat loosely.

“The flag waved in the gentle breeze.”

To move one’s hand back and forth (generally above the shoulders) in greeting or departure.

(metonymic) To call attention to, or give a direction or command to, by a waving motion, as of the hand; to signify by waving; to beckon; to signal; to indicate.

“I waved goodbye from across the room.”

The motion of something that waves.

Repeated moving of arms or hands to signal.