Mutante literally translates to "mutant," but in this context, it's used to mean 'changing' or 'unstable'. It's a very striking and modern word to describe a feeling.
In the song, the phrase "amor mutante" (mutant love) powerfully conveys a relationship that is inconsistent and unpredictable. This isn't a steady, reliable love; it's one that transforms and changes its form, making it a perfect word for a complex, modern romance.
This song from Mexican rock band Maná is a classic tale of being totally hooked on someone who isn't totally yours. The singer is in a relationship that is intensely physical, describing moments with his lover as "el cielo" [heaven]. But this heaven comes with a huge catch.
He knows he's being played. His lover comes and goes "como los colibrís" [like the hummingbirds], and he feels like nothing more than "un perro a tus pies" [a dog at your feet]. The central idea is right there in the title: "Labios compartidos" [Shared lips]. He's tortured by the fact that the person he loves is kissing other people, and he declares, "Yo no puedo compartir tus labios" [I can't share your lips]. It's a powerful, painful song about loving someone so much that you accept only getting "El pedazo que me toca de ti" [The piece of you that is mine], even when it hurts.