"Closure" is a song about moving on and finding closure after a past relationship. The lyrics describe a sense of time passing and the narrator still feeling pain when they see or hear the name of their former partner. However, they acknowledge that the way things ended was not right and that their ex-partner seems to know that now.

The chorus conveys a sense of strength and resilience, as the narrator states that they received a letter from their ex-partner but they are doing better without them. The line "It was a deep cut to meet you, straight to the bone" suggests that the relationship left a profound impact, but the narrator has managed to heal and grow from it.

In the second verse, the narrator asserts their independence and self-assurance. They refuse to be treated as someone who needs to be controlled and express their ability to deal with their resentment, tears, and self-soothing behaviors like drinking and lighting candles. The line "I can feel you sanding down my rough edges" suggests that the process of moving on is smoothing out their emotional roughness.

The bridge introduces a sense of longing and acceptance of the fact that they are just a small part of their ex-partner's new life. They acknowledge that remaining friends would have been ideal, but their ex-partner's actions, like reaching out across the sea, are fake and unnecessary.

In the final chorus, the narrator reiterates that they received the letter, but they are doing better without their ex-partner. They emphasize that they no longer need their ex's closure and that they have found their own closure, symbolized by repeating the line "Your closure, your closure."

Overall, "Closure" is a song that reflects the journey of healing and finding closure after a past relationship. It portrays a sense of resilience, self-empowerment, and the realization that the narrator doesn't need validation or closure from their ex-partner to move forward.