Group members Siobhan Donaghy, Keisha Buchanan, and Mutya Buena wrote the song with Jony Lipsey, Cameron McVey, and Paul Simm for the band's debut album One Touch (2000).

The lyrics describe escaping from the reality and harshness of the world, possibly an abusive relationship (you never seem to wonder/how much you make me suffer).

It was released as the third single from the group's debut album One Touch in April 2001 and sold 64,242 copies.

In 2007, Czech singer Tereza Kerndlová covered the song as "Zhasis" for her album Orchidej.

[2] On 11 May 2021, the Sugababes released a reworking of "Run for Cover" featuring singer MNEK.