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How does the tailstock wobble, it's locked into position? My harbor freight tailstock was not milled flat on the base but it's not a big deal in most cases. The quality of these lathes is awful and the customer service is even worse. I complained about the tailstock and asked if I could get a replacement and they declined. They wanted me to disassemble the entire lathe and box it back up and ship it back for a replacement! Even after I told them I through the box out. That wasn't going to happen, so I just deal with it and shim the tailstock when I need accuracy. So my advice would be to try to fix the tailstock yourself or if you feel ambitious and it's within 90 days, return it for a new one.
Good luck and I hope it works out for you.