Authors:

If we had enough cadaver organs to go around we wouldn't do living donor liver transplants because one is we don't want to put a donor at risk, but the second is that it's a more difficult surgery for the recipient because you're getting a piece of a liver rather than a whole liver. It takes you longer to recover, and it has more complications related to where we sew together the blood vessels and the bile ducts.

Source: www.ucsfbenioffchildrens.org
If we had enough cadaver organs to go around we wouldn't do living donor liver transplants because one is we don't want to put a donor at risk, but the second is that it's a more difficult surgery for the recipient