A cigarette; thus named because of the fact that they do nothing but slowly kill you, and are for dweebs who are too pussy to smoke anything that gets you high.
Person 1: Want a cigarette?
Person 2: Hell no I don't want a dweebstick, I'll smoke a bong.
Someone who accepts and is proud of being a dweeb, as well as a nerd, geek, dork, etc. They are so foolishly uncool but they are cool because they don't care and feel intelligent, and actually they hate cool people.
I'm a Dweebster because I lovedreading the lord of the rings novels but I hate the movies.