You wag or waggle something when you wave it backwards and forwards fairly fast. dogs wag their tails when they are happy. People sometimes wag their fingers to tell someone else off.
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Video: view
Wis forWave (motion)
You wave by moving one or both hands backwards and forwards. People wave to say hello or goodbye, or just to get other people's attention.
You wink when you briefly close one eye. If you wink at someone, it can mean that you like them in a sexual way. Men are most likely to wink at women.
Winking at someone after you say something usually means you have some kind of hidden meaning in what you say, and that you are being somehow sneaky, misleading, or you were joking.
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