Even though much of the woolly mammoth genome has been sequenced it will still be some time before a scientist successfully attempts to clone an extinct animal. Scientists have successfully made clones from frozen specimens of dead mice, but further than that, there are complications.
First of all a coherent enough sequence is needed without the incredible volume of mutations that you find in ancient DNA. Even though copious amounts of DNA were extracted from the woolly mammoth hair samples, time was not a great friend as there was much degradation. Plus the scientists would need to decipher what is a real mutation and what is degradation. Some of the mutations may have conferred benefits on the mammoth and it seems a virtually impossible task to sort one from the other over such a large scale.
To successfully clone a mammoth scientists would also need to know how many chromosomes were packed into its cells; this is currently unknown.
This doesn't necessarily mean that it's the end of the story, extinction may still become a thing of the past, but the science is not there yet. To create a cloned mammoth requires rebuilding a cell nucleus or the even more fantastic idea of getting hold of an African elephant cell and making hundreds of thousands of mutations, such that it turns into a mammoth cell.
It may be some time before the Earth once again plays host to the pitter patter of baby mammoth feet.