“You Have Placed a Chill in My Heart” was released as the fourth single from the album Savage in the UK, and the second in the United States. It was released as a highly collectable picture disc CD Single in a black tin.
The track is driven by a drum machine and is a mostly synth-based ballad. Lyrically, Annie Lennox sings of mustering the power to leave a destructive relationship with a lover who does not return the affection she deserves (“…a woman’s just too tired to think / about the dirty old dishes in the kitchen sink”).
The song’s music video continued the concept directed by Sophie Muller (seen earlier in the videos for the singles “Beethoven (I Love to Listen To)” and “I Need a Man”, and throughout most of the Savage video album).
“You Have Placed a Chill in My Heart” was the only single from Savage to reach the Top 20 in the UK, peaking at number 16 (the duo’s 12th overall).