It has never been done, and cloned animals have some serious birth defects since apparently some cells reflect the age of the animal cloned, so you get a baby that may look like her mother but genetically is quite inferior.
No has claimed to have cloned a human. Therefore no Rav has ever poskened on the matter, and a posek based on a sci fi novel is meaningless except on Purim.
My guess is as as the woman cloned (it can only be done to women) and the woman who carries the baby to term (can be the sameone), are Jewish, the baby would be Jewish with the same halachic status as any other clearly Jewish baby whose father is unknown (though it might be argued she is the daughter of her maternal grandfather).