To "dobbie" is to ignore someone who is flirting with you.
To be "dobbied" is to be disregarded by someone who you are only pretending to be interested in, such as starting conversations with strangers just for fun. The person will either not respond or they will walk away. It is a non-verbal rejection.
Originated in
Ocean City, Md when two girls pretending to be interested in talking to a guy working in a movie theater were shocked when he looked over their heads and past them and never responded. His nametag said 'Dobby' and she commented "I think I've just been dobbied!?!"
It is
particularly offensive because the person believes you are 'into' them when really you were just flirting for fun, maybe trying to.make someone blush, when really you may have had zero interest.