The pair were detained when police stopped two cars on the N24 road in Cahir on Thursday evening.
BBC: Two men in court over dissident republican terrorism
They were taken to separate garda stations in Clonmel and Cahir for questioning.
At a special sitting of Dublin's Special Criminal Court, a detective garda told a state solicitor that he formally arrested Mr Noonan at 17:00 GMT on Saturday in Cahir.
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