Fraudulent claim in Republican broadcast (8)
I believe the answer is:
criminal
'fraudulent' is the definition.
(thesaurus)
'claim in republican broadcast' is the wordplay.
'republican' becomes 'R' (political abbreviation).
'broadcast' is an anagram indicator (letters scattered or cast around).
'claim'+'in'+'r'='claiminr'
'claiminr' anagrammed gives 'CRIMINAL'.
(Other definitions for criminal that I've seen before include "Lawless, felonious" , "Felon, malefactor" , "An habitual breaker of the law" , "Deplorable, shocking" , "Offender" .)