Scientists say that within 5 years they'll likely have a clone. From the article: "What's been missing is woolly mammoth nuclei with undamaged genes. Scientists have been on a Holy Grail-type search for such pristine nuclei since the late 1990s. Now it sounds like the missing genes may have been found."
Mammoths have been extinct some 10.000 years, but ironically, researchers were able to find these remains thanks to global warming, which tamed the eastern parts of Siberia which are almost always frozen.