Aferrarme comes from the verb aferrar, meaning 'to cling to', 'to hold on to', or 'to grasp firmly'. It's a strong and evocative verb that goes beyond simply 'holding'.
In the context of
Claudio Alcaraz's "Me Hice una Promesa" is all about finding true love and healing after a tough time. He talks about putting his sorrows to sleep and facing his fears, saying "Desnude mi verdad" [I bared my truth]. It sounds like he's been through some struggles, even mentioning "la depresión colgando de una flor en el ojal al corazón" [depression hanging like a flower in the buttonhole to the heart].
But this song isn't about staying down! It's a declaration of hope and commitment. Claudio makes a promise to himself: "me hice una promesa de esperar" [I made myself a promise to wait] for true love. He's letting go of the past, forgiving himself, and keeping his heart open for what's to come, trusting in "la voluntad de dios" [God's will]. It's a really uplifting message about patience and faith in finding the right person.