Arrancar literally means "to tear out" or "to pull out." It's a strong, visceral verb that conveys a sense of force and pain.
In this song, Jessi Uribe uses it metaphorically in the phrase "me tenga que arrancar el corazón" (I have to tear out my heart). This powerful imagery expresses the extreme emotional pain and difficulty of moving on from a past love, suggesting a profound and agonizing separation.
Jessi Uribe's "Mi Recuerdo Llorarás" is a classic breakup song with a twist of 'you'll miss me when I'm gone.' He starts by telling his ex not to thank him for knowing him, and that it would be better to just forget him. He even begs her to forget him, saying it's easy for her to say goodbye to his life. But then he drops the truth: "la vida nos da vueltas casi siempre" [life almost always gives us turns].
He's convinced that even though she's currently enjoying new adventures and affection, she'll eventually feel the sting of their breakup. He sings, "cuando te duela me recuerdo llorarás" [when it hurts you, you'll cry remembering me], predicting she'll miss his tenderness and realize that "no es lo mismo tener sexo el amor" [having sex isn't the same as love]. It's a pretty blunt message, basically saying, 'you'll regret leaving me, and you'll realize what you lost.' He's putting an end to their story, even if it means tearing out his own heart.