The most common and most likely answer to this crossword clue is the 2 plus 3 plus 6 plus 4 letter word UP THE GARDEN PATH
I've seen this crossword clue in Financial Times
U
P
T
H
E
G
A
R
D
E
N
P
A
T
H
More clues leading to the result UP THE GARDEN PATH
Buddy explains!
The straight part
We know that "the wrong way" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case the wrong way = up the garden path.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.