The most common and most likely answer to this crossword clue is the 10 letter word REVERSIBLE
I've seen this crossword clue in The Daily Telegraph
R
E
V
E
R
S
I
B
L
E
Buddy explains!

The straight part
We know that "Like a certain jacket/maybe label that Hannah has" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case like a certain jacket/maybe label that hannah has = reversible.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 REVERSIBLE mean?
REVERSIBLE adjective- Able to be reversed.
- (of clothing) Able to be worn inside out.
- (of a chemical reaction) Capable of proceeding in either direction.
- (of a phase change) Capable of returning to the original state.
- Capable of returning to the original state without consumption of free energy and increase of entropy.