"Closing Time" is a song by Semisonic from their album Feeling Strangely Fine. The band's most popular song, it was written by Dan Wilson and produced by Nick Launay. The song was nominated for the Grammy Award for Best Rock Song in 1999. It peaked at #1 on the Modern Rock Tracks.
The place that closes seems to be a pickup bar, noted by the lines:
However, the book So You...