Republican trapped by flagrant lie he wildly exaggerated (6,4,4)
I believe the answer is:
larger-than-life
'exaggerated' is the definition.
(I've seen this before)
'republican trapped by flagrant lie he wildly' is the wordplay.
'republican' becomes 'R' (abbreviation in US politics).
'trapped by' indicates putting letters inside.
'wildly' indicates an anagram.
'flagrant'+'lie'+'he'='flagrantliehe'
'flagrantliehe' with letters rearranged gives 'largethanlife'.
'r' placed inside 'largethanlife' is 'LARGER-THAN-LIFE'.
(Another definition for larger-than-life that I've seen is " Exaggerated".)