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1.
Intoxicated so thoroughly that the intoxicee is unable to walk a straight line. Other recreational substances may also be used, but the cheapest way to get "weaving drunk" is on cheap wine, beer, or ale.
Since there is so little to do in Yacolt, WA, Tonya Harding entertains herself by getting totally weaving.
by Dave in the Couve April 30, 2007
 
2.
While driving: constantly changing lanes and passing in between cars, most often at a high speed and in a dangerous manner (e.g. no blinkers). Someone who is weaving basically wants to overtake EVERYONE on the road, both on their lane and others. Almost exclusively met when multiple lanes are going in the same direction, especially on highways.

Etymology: the word comes from the motion of changing lanes from left to right and left again (like in a sine wave flipped on its side), which is similar to the motion when weaving clothes (you pass your thread and needle under another thread, then go up and pass over the next thread, go under the next one, and so on and so forth).
- Whoa whoa whoa man! Cut that out! Why are you weaving?
- I'm dancing in between traffic bro, I'm like a ballerina!
by Photon_Man62 July 15, 2014
 
3.
A potentially-contact sport involving the expert ability to excuse oneself through a crowd--two people or more--when it is utterly unnecessary to walk through them. Usually leads to mass confusion of the people through whom the weaver is weaving; expect uncalled-for apologies and/or anger. Primarily implemented as a source of entertainment for observers. Also can be applied to generally inserting oneself temporarily into another's space or cramped locations without reason. Men and women who successfully weave should be regarded as maestros of trolling. Overly-ambitious weavers can attempt the slow, backwards double low-deuces pose as they move.
George was weaving through a group of girls in the cafeteria even though there was 10 feet of walking space on either side of them. What a weirdo.

Why is Johnny weaving under the hand-dryers being used in the men's restroom?
by Keat the Peat July 14, 2013
 
4.
Intoxicated so thoroughly that the intoxicee is unable to walk a straight line. Other recreational substances may also be used, but the cheapest way to get "weaving drunk" is on cheap wine, beer, or ale.
Since there is so little to do in Yacolt, WA, Tonya Harding entertains herself by getting totally weaving.
by Dave in the Couve April 21, 2007