Hulkeye

Hulkeye is a relationship between Bruce Banner and Clint Barton in the Avengers fandom.

Fanon
These two don't interact a lot on screen so the ship isn't well known. This leads to fans delving into potential reasons they could be together. A popular theory is that Clint has managed to tame the Hulk, or in some cases sedate him. This idea is fictional but the plot of Clint facing down the Hulk when he tries to trash a S.H.I.E.L.D base seems to work quite well.