A relative risk factor of 3 means that the event is 3 times more likely to occur. The difference between putting one bullet in a gun vs. three bullets. Would you consider it statistically relevant to have three vs. one bullets in a gun when playing russian roulette? I think most reasonable people would say there was.
No, it means that, at a risk factor of 3, you can begin to think there is a link, since a risk factor of 1 means there is no significance at all.
The statistical methods use say that "A Relative risk of 1.0 indicates no effect." "No" in this case means 0. 0x3=0. 