The most common and most likely answer to this crossword clue is the 4 plus 6 letter word MARK ANTONY
I've seen this crossword clue in Financial Times
M
A
R
K
A
N
T
O
N
Y
Buddy explains!
The straight part
We know that "Roman politician" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case roman politician = mark antony.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.