Far right in Texas involved in notorious trial town with a new representative (8)
I believe the answer is:
salesman
'representative' is the definition.
(I've seen this before)
'far right in texas involved in notorious trial town with a new' is the wordplay.
'far right in' says to take the final letters (the letter on the far right of the word).
'involved in' is an insertion indicator.
'notorious trial town' becomes 'Salem' (as in the Salem witch trials).
'with' is a charade indicator (letters next to each other).
'new' becomes 'n' (common abbreviation eg NT for New Testament).
The last letter of 'texas' is 's'.
'salem'+'a'+'n'='saleman'
's' placed inside 'saleman' is 'SALESMAN'.
(Other definitions for salesman that I've seen before include "Arthur Miller play's subject" , "Arthur Miller wrote 'Death of a . . . . . . . .'" , "He's a vendor" , "He sells lean mass, oddly" , "Male shop worker" .)