Are there such a thing as a teacup westie?

Yes, but they are not an AKC standard. AKC only recongizes Miniatures which is under 11 lbs and standard which is 16 lbs and over. Dachshunds make amazing pets. I have 2 myself and they're wonderful obedient VERY easy to train and loyal companions. My mother in law and sister in law have dachshunds as well. In fact they got me started realizing how amazing they are. They're enegetic, courageous personalities. They always bark if someone is at the door which may be annoying to some but makes me feel safe that i know someone is coming. I completely recommend a dachsund as a pet if you're looking for one.