Hulkeye

Hulkeye is the slash ship between Bruce Banner and Clint Barton in the Avengers fandom.

Earth's Mightiest Heroes! (Season 1)
Hulk Versus the World

As Hulk makes his way towards Ross, a grappling arrow is show at his feet, and two more are shot in his chest. Clint and Natasha slide down and Clint does a countdown as the arrows explode. After the explosions die down, Hulk says that they better run, since they just made him angry. Clint says that he looks more beat up than angry and the two start to fight along with Natasha. Hulk then grabs Clint just as Ross fires another launcher. Realizing this, Hulk jumps forward and stops the missile from hitting Clint and Natasha.

After capturing Bruce, Clint goes to see him locked up in the Cube. Bruce assumes Clint would quip about him being bigger, but Clint just asks why Hulk saved the ship that was going down if he’s a monster. Clint saw that Hulk had a way to escape and asks why he would save them anyway. Bruce thinks that Clint should instead be asking what SHIELD wants the Hulk for. They now have his blood and could find a way to make more of him.

Earth's Mightiest Heroes! (Season 1)

 * Clint watches Hulk save Bobbi.
 * Clint looks back to Bruce as he leaves the cell.

Fanon
These two don't interact a lot in the MCU, so the ship isn't as popular as others.. 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.

Fandom
FAN FICTION

TUMBLR

Variations

 * Technobow refers to the ship between Tony Stark, Bruce and Clint