Yup, you can be prosecuted under the Sarbanes-Oxley Act for clearing your browser history. In other words, according to the feds, you have an affirmative duty to preserve evidence that could later be used against you.
Unless you have something to hide, this is not a problem. But it would make compliance much easier if the government would just provide cloud storage for all our data.
Source: You Can Be Prosecuted for Clearing Your Browser History | The Nation