The most common and most likely answer to this crossword clue is the 6 letter word DEXTER
I've seen this crossword clue in The Daily Telegraph
D
E
X
T
E
R
More clues leading to the result DEXTER
- Right famous detective novelist!
- Author on the right put off about vote
- It’s right to check when there’s sign of something wrong inside
- Right to prevent grasping by crime- fiction writer
- Scare off around ten cattle
- Novelist’s cross note in German article
- Inventor of Morse put off by cuts
- Old terrorist leader penetrates the German Right
- Right to put off drinking up times
- Crossword fan put off taking on Times
Buddy explains!

The straight part
We know that "Writer of detective stories/Right" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case writer of detective stories/right = dexter.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 DEXTER mean?
DEXTER noun- The right side of a shield from the wearer's standpoint, and the left side to the viewer.
- The right hand.
- Right; on the right-hand side.