NPR has a great podcast on this story where they cover the more human side of the science (see here). You might also be interested in earlier advances in cloning organs that go back to 1999 in cloning bladders: first, in dogs, now humans.
This cloning case is unique because until now, all trachea transplants involved using cadaver trachea as the "core" scaffold to grow stem cells around. So far there have been a handful of successful organs cloned in the same manner as this trachea. The technique basically starts with a synthetic material which serves as a scaffold for new cells to grow on. In the case of children where the organ will need to grow with the child, a biodegradable material is chosen for the scaffolding. Such
There are two main advantages for such a transplant:
- No wait for organ donors to become available
- No anti-rejection drugs needed.