Cadogan started Little Barrie in 2000, he was joined friend Wayne Fulwood on drums and Lewis Wharton on bass.[6] The trio released their debut album We Are Little Barrie in 2005.[7] The album featured guest appearances from Edwyn Collins.[8] Before the release of the album he played with Morrissey on his 2004 tour, replacing Alain Whyte after being recommended by his friend and fellow guitarist Boz Boorer.[4]
In 2006, Cadogan started performing live with Primal Scream as co-guitarist following the departure of founding member Robert Young.[9] He played on their albums Beautiful Future (2008) and More Light (2013) as a session musician. In 2015 he stopped performing with the band.[10]
In 2016, he launched a new solo project Cobra Lamps, releasing their first album on 1 July that year.[11]
Cadogan has continued to perform with Little Barrie, who were reduced to a duo following the death of long-time drummer Virgil Howe, son of Yes guitarist Steve Howe.[14]
In 2022, he joined Liam Gallagher's solo band as a touring replacement for Paul 'Bonehead' Arthurs who was undergoing treatment for tonsil cancer.[16] His stint with Gallagher meant that he played alongside John Squire of the Stone Roses.[16] He played again with the two musicians on their UK tour as a duo, this time playing bass, alongside Joey Waronker on drums.[17]