(For example, in Cat's New Boyfriend, he told her she couldn't tell Cat something and she was instantly silent, and in Beggin' on Your Knees (episode), he told her to go to timeout for insulting Tori, and she obediently went to sit on the steps.
He also once posted on The Slap that he got in a water fight with a bunch of girls in bikinis, and when Jade freaked out, he said "HA.
Just kidding." Jade is shown to be extremely possessive of him throughout the series in almost every episode.
When Jade says they aren't about to break up, Beck sometimes replies with a questioning "Well..." (such as in Robarazzi), and Wi-Fi in the Sky he purposefully (though, he may not have been given the chance by Jade to explain) left out the fact that the cheerleader next door was nine years old to make her jealous and teach her a lesson.
She argues with him that he loves making her jealous and pushing her buttons.
Although she argues with him a lot, she seems to have a lot of respect for him, and often tries to gain his approval.