The most common and most likely answer to this crossword clue is the 9 letter word UNDRESSED
I've seen this crossword clue in The Times
U
N
D
R
E
S
S
E
D
More clues leading to the result UNDRESSED
Buddy explains!

The straight part
We know that "shed kit" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case shed kit = undressed.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 UNDRESSED mean?
UNDRESSED verb- To remove one's clothing.
- To remove one’s clothing.
- To remove the clothing of (someone).
- To strip of something.
- To take the dressing, or covering, from.
- Having partially or completely removed one's clothes.
- (of a wall, etc.) Whose surface has not been dressed (prepared).
- (of salad, etc.) Without dressing.