The most common and most likely answer to this crossword clue is the 10 plus 4 letter word WELLINGTON BOOT
I've seen this crossword clue in Independent
W
E
L
L
I
N
G
T
O
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B
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T
More clues leading to the result WELLINGTON BOOT
- Disapproving cry from New Zealanders having little time for a stick-in-the-mud?
- One of two confining the flanks at Waterloo?
- Gushing in 5 about nice top footwear
- Water thus rising further round end of garden? Wear this
- Cockpit in sports car not about suppressing unwanted noise, but it should keep you dry
Buddy explains!

The straight part
We know that "Wear this" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case wear this = wellington boot.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.