The Washington Post reports that the FDA is recommending approval for cloned meat for human consumption. Organic standards don't appear to address the issue of cloned animals but it would seem that this sort of "monocrop' agriculture ends up requiring more specialized chemicals. The Organic Center has an essay outlining some of the risks of cloning. Some see the dangers as patent issues where farmers don't have the right to breed their own animals.
I saw a brief news segment on (I think) CNN. This scares me. They say it's safe, but I believe the packaging should contain a label saying it's cloned meat. I would want to know. Apparently the FDA won't have labeling laws.