Pause for Safety Act of 2014

Pause for Safety Act of 2014 - Authorizes the Director of the Office of Community Oriented Policing Services of the Department of Justice (DOJ) to make grants to to assist states in carrying out state legislation that: (1) authorizes family members or close associates of an individual to apply for, and state courts or magistrates to issue, gun violence prevention orders (prohibiting a named individual from owning, purchasing, possessing, or receiving firearms because such individual poses a significant threat of personal injury to the individual or others) and gun violence prevention warrants (directing a law enforcement officer to temporarily seize any firearm in the possession of such individual); and (2) requires each law enforcement agency of the state to comply with a procedure that requires a law enforcement officer, in conjunction with performing a wellness check (a visit to an individual's residence to assess whether the individual poses a danger to the individual or others due to a mental, behavioral, or physical condition), to check whether the individual is listed on any of the firearm and ammunition databases of the state or jurisdiction in which the individual resides.

Requires: (1) a court issuing such an order and warrant to hold a hearing within 14 days to determine whether the individual who is the subject of the order may own, purchase, possess, or receive firearms and whether any seized firearms should be returned; (2) the state or petitioner to establish probable cause that the individual poses a significant risk of personal injury to the individual or others by owning or possessing the firearm; (3) the individual to be prohibited from possessing a firearm for up to one year if he or she is found to pose a significant threat; and (4) the firearm to be returned if the court finds that the state has not met the required standard of proof. Authorizes a law enforcement agency to seek renewal of an order if it has probable cause to believe the individual continues to pose a threat.

Amends the federal criminal court to prohibit: (1) the sale or disposition of a firearm or ammunition to anyone subject to such an order; and (2) any person subject to such an order from owning, purchasing, possessing, or receiving any firearms.