The 25-year-old reality star was on a train from Leeds to London on Sunday, 18 May when the incident happened.
A spokesman for British Transport Police confirmed in a statement to Reveal: "Officers from BTP arrested a 25-year-old man from Chelsea, London, for failing to give his details after committing a railway byelaw offence of unacceptable behaviour.
"The man was taken off the train by officers and taken to a police station in Peterborough to be interviewed. He then supplied officers with his details, was released and received a caution for the offence when he arrived at London Kings Cross station."
They declined to give any further information.
According to The Sun, however, the 'unacceptable behaviour' in question was a refusal to stop using a mobile phone while seated in a "quiet" train carriage.
Jamie has yet to comment but he did tweet on 19 May: "Yesterday was up there with one of the worst I've had, but you can only appreciate the good when you've experienced the bad."
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