Most fans were surprised by the team's early 'exit' from the tournament. [=surprised that the team lost and was out of the tournament at an early stage]
The company needs to have an 'exit strategy'. [=a plan for ending its involvement when it wants or needs to end it]
The deal provides an 'exit' for the company. [=a way for the company to stop being involved in something]
(..) with men ! Now fill these boats, Mr Lightoller, for God's sake, man ! l need more women and children, please ! (Crewman) Get back in there. This is not an exit. - Get back in there. - This is not an exit ! You can't keep us locked in here ! The ship's bloody sinking ! Bring forward the women ! (..)1997 Titanic