Christians should be neither postmoderns nor moderns. There are things to learn and dangers to avoid in both intellectual heritages. A Christian would add that we are not only finite, we are also corrupted by sin. Modernism so focused on reason that it is not very good at explaining how we learn things. Postmodernism provides a good critique of modernism.
Postmodernism helpfully stresses the use of the aesthetic.
Contrary to postmodern claims, practical experience shows that accurate communication is possible. Even postmodern authors expect to be understood. As we work with a text, we can come to an increased understanding, even if not a perfect knowledge. Postmodernism frequently offers an indefensible foundational thesis. It does not allow for us to get closer to the true meaning of something over time.