Deleting your browser history if they government says that you thought it might one day be relevant in an investigation can land you in prison.
For example: You're downloading run of the mill adult-on-adult pornography and one of the links that you click redirects you to a child porn site, you weren't looking for child porn and you didn't want any but you inadvertently browsed to a site that hosts it, so you delete all of your cache because you don't want that on your computer. Well, if that site was a honeypot and when the authorities come investigating, they'll use your cleared cache as proof that you knew you were doing something illegal and prosecute you for it despite the fact that you didn't intentionally break the law.