Um, no. We belong to the same genus not species. Assuming that is what you meant, what exactly are the concerns of cloning a human?
Most arguments I hear typically involve a religious appeal and we all know how well science and religion mix. Aside from that, I am not so sure any religion would be quick to embrace a living Neanderthal.
The best argument I could think of against cloning a Neanderthal would be the concerns I have for it's health and happiness. We know very little of the culture, diet, needs, or temperament of Neanderthals. On the other hand, we do know what a good diet consists of and what generally makes humans happy. Our cultures are rather well studied too. A cloned human living a healthy and happy life doesn't seem far fetched to me. I am not so sure about the Neanderthal.
None of this means I would rush out and clone humans or Neanderthals but I will say the concerns are not the same.