The Van Flandern paper that SystemTheory linked to is kind of strange. When I first started reading it, it seemed obvious to me that it was crank stuff. Then I noticed that he gave a reference to where it was published in Physics Letters A in 1998. I couldn't believe this, so I looked up the reference, and sure enough, there it was.
The standard interpretation of GR is that low-amplitude disturbances in the gravitational field propagate at c. This prediction is infamously difficult to test experimentally in a model-independent way. The problem is that we don't have any viable competing test-theories that predict any other speed. This page http://www.lightandmatter.com/html_books/genrel/ch08/ch08.html gives what I think is a standard depiction of the consensus among relativists.
If there were anything seriously wrong with the description of the propagation of gravitational effects as described in GR, then it would be amazing that the rate of gravitational radiation by the Hulse-Taylor pulsar is in such good agreement with experiment. Solar system tests are also in good agreement with GR, although they do not do a good job of making a direct test of propagation at c. What is probably better understood today than in 1998, when Van Flandern got his paper published, is that, as shown by the Kopeikin fiasco, it is not at all easy to get the answer to this question from solar system measurements.