hearing something for the last time
Used when one listens to something knowing it will be the final occasion, often with a sense of finality or nostalgia. Common in contexts like the last performance of a musician, the last broadcast of a program, or the last words from someone.
The retiring singer's last concert was the final chance for fans to hear them perform.
Today is the last time I'll listen to this radio program.
Compound of 聞き (kiki, continuative form of 聞く 'to hear, listen') and 納め (osame, continuative form of 納める 'to put away, conclude'). The combination conveys the idea of concluding one's listening.