In the song "Not My Baby" by Alvvays, the singer is expressing a sense of freedom and independence now that they are no longer tied down by a past relationship. They are moving on and doing whatever they want without caring about the opinions or thoughts of their ex-partner. The lyrics mention how the singer has been checking out and going out more, enjoying the newfound freedom. The chorus repeats the phrase "Now that you’re not my baby" to emphasize the liberation and empowerment felt by the singer after the end of the relationship. The singer feels alive and sees a light for the first time in a long time, indicating a sense of renewal and positivity. Overall, the song conveys a message of self-discovery, growth, and moving on from a past relationship to find happiness and freedom. The lyrics paint a picture of letting go of the past and embracing a new chapter in life.