Mostly what scientists and lawyers can learn from each other is humility.
For both (in different ways) invesitgating the truth of purported facts is important -- as is understanding the laws governing those facts. But lawyers are dealing with interested, intelligent agents, some of whom will try to game whatever environment they are faced with.
Science has less of this problem, so it pushes harder into realms of precision that lawyers ought not dare enter. But scientists who wade into policy or legal fights should remember that they are n00bs who's methods are easily perverted.
One field that has a lot of experience dealing with this is law. I wonder if the scientific community can learn anything from it.