The most common and most likely answer to this crossword clue is the 6 letter word LAPELS
I've seen this crossword clue in The Daily Telegraph
L
A
P
E
L
S
Buddy explains!

The straight part
We know that "Turnovers in coats" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case turnovers in coats = lapels.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 LAPELS mean?
LAPELS noun- Each of the two triangular pieces of cloth on the front of a jacket or coat that are folded back below the throat, leaving a triangular opening between.