From Bearing Arms:

Loeffler’s bill, the Gun Owner Privacy Act, would ban the use of federal funds to store personal information collected during background checks attached to gun purchases. Federal agencies are already barred from creating a database of gun owners, but the legislation will give citizens recourse for any infringements on their privacy. While the law would not apply to Americans who fail background checks, those whose records are illegally stored will be able to sue agencies in federal court and collect damages.