If you dreamed of being chased by someone with a gun: Your next step may be uncovering the criminals, helping to set the innocent free, Opportunities may arise that will help you make progress on the issues you are collateral with. To be chased by a gunman in your dream indicates that you will face things you do not want and will face difficult situations. It indicates that there will be insecurity, you will lose your reputation, people in your life will move away from you.