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]
(..) But think of all those poor refugees... ...who must rot here if I didn't help them. That's not so bad. Through ways of my own, I provide them with exit visas. For a price, Ugarte. For a price. Think of the poor devils who can't meet Renault's price. I get it for them for half. Is that so parasitic? (..)1942 Casablanca
(..) Then by train or auto or foot across the rim of Africa... ...to Casablanca in French Morocco. Here, the fortunate ones, through money or influence or luck... ...might obtain exit visas and scurry to Lisbon. And from Lisbon to the New World. But the others wait in Casablanca. And wait... (..)1942 Casablanca