The most common and most likely answer to this crossword clue is the 13 letter word VICEROYALTIES
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Buddy explains!
The straight part
We know that "Offices of sovereign representative" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case offices of sovereign representative = viceroyalties.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.
Crossword Answer definitions
VICEROYALTIES noun- The office or term of service of a viceroy.
- The place governed by a viceroy.