The most common and most likely answer to this crossword clue is the 6 plus 7 letter word PARROT FASHION
I've seen this crossword clue in Financial Times
P
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More clues leading to the result PARROT FASHION
Buddy explains!
The straight part
We know that "trot out this way" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case trot out this way = parrot fashion.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 PARROT FASHION mean?
PARROT FASHION adverb- In the manner of a parrot; with thoughtless repetition of what others have said.