No safety problems. It is a flaw in the trigger design on any Remington bolt action made prior to 2007. In very rare situations the gun will fire as soon as the safety is released without even touching the trigger. Other rifles have been known to fire when you start to lift the bolt with a round chambered and the safety in the off position. Bubba working on the trigger is responsible for some of the problems, but many guns have done this that were stock. The engineer who designed the gun discovered the flaw shortly after the rifle hit the market and urged Remington to use a redesigned trigger. Because the new trigger cost $.05 more, Remington decided to stay with the same trigger.
Remington has known about the issue since the 1960's and only chosen to address the problem in 2007 when they introduced their new and improved trigger. Which was really done to correct the design flaw.
They changed then guns safety during the 1980's to allow owners to open the bolt to unload without moving the safety to the "FIRE" position. Older guns locked the bolt down and you couldn't unload in the safe position. This reduced the possibilities of the gun firing, but did not eliminate the prolem.
Trust me this is a real concern. I own one of the rifles that has done this. Fortunately for me each time mine did it the gun was unloaded.