The most common and most likely answer to this crossword clue is the 10 letter word ENTANGLING
I've seen this crossword clue in The Daily Telegraph
E
N
T
A
N
G
L
I
N
G
Buddy explains!

The straight part
We know that "Getting snarled up" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case getting snarled up = entangling.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 ENTANGLING mean?
ENTANGLING verb- To tangle up; to twist or interweave in such a manner as not to be easily separated
- To involve in such complications as to render extrication difficult
- , to ensnare
- To involve in difficulties or embarrassments; to embarrass, puzzle, or distract by adverse or perplexing circumstances, interests, demands, etc.; to hamper; to bewilder.
- Entanglement