It became Dido's fifth number one on the US Billboard Dance Club Songs chart in June 2019.

Jon Blistein of Rolling Stone wrote that the song "boasts a simple arrangement that finds Dido crooning over steady piano plunks, while an atmospheric blend of backing vocals, white noise and kick drums provides texture and warmth".

[1] Thanks to an array of remixes, "Give You Up" became Dido's fifth number one on the US Billboard Dance Club Songs chart for the week dated June 22, 2019.

This marked Dido's first number one in nearly 15 years, since "Sand in My Shoes" topped the chart in 2004.

[2] The music video of the song was released on 19 February 2019, directed by Sophie Muller.