No a cloned animal does not have buddha nature. A cloned animal is buddha nature, just as is everything else that arises from emptiness, including the emptiness itself.
If you state it as a cloned animal having buddha nature you are supposing an independent entity that possesses some thing or quality called buddha-nature. Non-self means non-self all the way down.
EDIT: changed "not-self" to "non-self" because that seems more correct.
Last edited by m0rl0ck
on Tue Sep 11, 2012 2:24 pm, edited 1 time in total.
“The truth knocks on the door and you say, "Go away, I'm looking for the truth," and so it goes away. Puzzling.” ― Robert M. Pirsig