If you search the HN archives you'll see this topic comes up not infrequently. I did that now. In one from three years ago, vibrunazo points out "There's a running joke in the skepticism community, that in the next few years we're gonna have baby mammoths flying around in jetpacks [1]. That's because stories of both mammoth cloning and jetpacks in development keep coming back on the media."
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Such a project will be time consuming and expensive. Elephants and mammoths eat a lot and live a long time.
And other than proving that we could do it, what's the long-term goal? Once we have re-bred the mammoth, do we kill them off and try another species?
Edit: One plan is to have them in the Pleistocene Park http://en.wikipedia.org/wiki/Pleistocene_Park .