What records? Excuse me, what records are they allowed to keep?
Well this is what GOA says about it:
http://gunowners.org/a05252011.htm
As you know, Rand Pauls amendment would exempt 4473s (the form all purchasers fill out when they buy a firearm from a licensed dealer) and other gun records from the blanket information demands which Bureau of Alcohol, Tobacco, Firearms and Explosives (BATFE) can make under the 9/11 legislation.
Without Pauls exemption, it is possible that the BATFE could go to a secret (FISA) court, and, in a one-party (ex parte) proceeding, obtain an order to produce every 4473 in the country, ostensibly because a terrorism investigation requires it. If such an action were taken, the government would have a list of every gun buyer in the country going back decades.
This is unacceptable and it is a violation of gun owner protections enacted in 1986 as part of the McClure-Volkmer Firearms Owners Protection Act. The McClure-Volkmer Act spells out the purposes for which gun records can be obtained by a law enforcement agency: as part of a bona fide criminal investigation, a trace, or a routine annual inspection. Sen. Pauls amendment will simply keep the 1986 laws provisions in place.
It should also be noted that the records in question deal with persons who already underwent the (unconstitutional) background check and were allowed to purchase a firearm. Once again, the dangers of a background check system (which presumes a person is a criminal until proven otherwise) are highlighted, as efforts must constantly be made to keep the governments hands off the list of honest gun owners.