The most common and most likely answer to this crossword clue is the 6 letter word WRITER
I've seen this crossword clue in The Times
W
R
I
T
E
R
More clues leading to the result WRITER
- Fashion mart's price war, not a problem for correspondent
- It may temporarily halt character-forming activity
- Author and setter back on course, we hear?
- Women’s formal procedure meets resistance, author revealed
- Legal document flipping concerning for author
- Author, one making correction, by sound of it
- Journalist perhaps gets server to pull article for recipe
- . . . . correspondent sounding more precise?
- More ironic about Taiwan’s principal author
- Dramatist, say, who corrects things that are wrong in speech?
Buddy explains!

The straight part
We know that "problem for correspondent" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case problem for correspondent = writer.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.
What does WRITER mean?
WRITER noun- A person who writes, or produces literary work.
- Anything that writes or produces output.
- The seller of an option.
- A clerk of a certain rank in the service of the East India Company, who, after serving a certain number of years, became a factor.
- An ordinary legal practitioner in Scottish country towns.
- A petty officer in the United States navy who keeps the watch-muster and other books of the ship.