A public cohort's running around, desperate to get out (14)

I believe the answer is:

claustrophobic

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'desperate to get out' is the definition.
I can't tell whether this definition defines the answer.

'a public cohort's running' is the wordplay.
'running' indicates anagramming the letters.
'a'+'public'+'cohorts'='apubliccohorts'
'apubliccohorts' anagrammed gives 'CLAUSTROPHOBIC'.

'around' acts as a link.

Can you help me to learn more?

I've seen this clue in The Daily Express.

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