Hart was the first bassist and founding member of the Scottish band The Jesus and Mary Chain, and played with the group from 1984 to 1991.
He also worked as producer for Jesse Garon and The Desperadoes and Baby Lemonade from Glasgow on the Narodnik Records Label.
Hart also wrote directed a semi-autobiographical short film titled Long Distance Information with Peter Mullan in a leading role.
In 2016, along with Jeannette Lee, formerly of Public Image Ltd. and Steve Mackey, former bassist of Pulp, Hart began Call This Number, a guerrilla TV project making erratic film broadcasts from a North London garage.
[4] In November 2019, along with 34 other musicians, Hart signed a letter endorsing the Labour Party leader Jeremy Corbyn in the 2019 UK general election with a call to end austerity.