Moss grew up in Liverpool and attended Manchester Metropolitan University, where she studied film. She joined the Royal Court's Young Writers programme and wrote her first professional play, A Day In Dull Armour. She soon became a writer-in-residence at the Bush and is under commission to the Manchester Royal Exchange, the Royal Court, Paines Plough, Liverpool Everyman and Clean Break (theatre company).
Other work includes How Love is Spelt, which opened at the Bush Theatre London in November 2004 and Off-Broadway in August 2005; Christmas Is Miles Away (Royal Exchange Theatre Manchester, November 2005, transferring to the Bush in February 2006); and The Way Home (Liverpool Everyman, November 2006). Catch—a collaborative piece written with four other playwrights (April De Angelis, Laura Wade, Stella Feehily, and Tanika Gupta)—premièred at The Royal Court in December 2006.
This Wide Night played at the Soho theatre in 2008. A commission from Clean Break (directed by Lucy Morrison), the play went on to a subsequent tour of women's prisons around the UK.
- Welcome to the Royal Exchange Theatre Archived 1 March 2012 at the Wayback Machine
- Lipton, Brian (26 February 2009). "Chloe Moss Wins Susan Smith Blackburn Prize". Theater Mania. Retrieved 27 March 2009.
- Chloe Moss' CHRISTMAS IS MILES AWAY Begins 5/1 At Connelly Theater
- KATE TAYLOR (29 April 2009). "The Working-Class World, Tender as Well as Tough". The New York Times.