The most common and most likely answer to this crossword clue is the 13 letter word NON-COMPLYING
I've seen this crossword clue in Independent
N
O
N
-
C
O
M
P
L
Y
I
N
G
Buddy explains!
The straight part
We know that "ignoring orders" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case ignoring orders = non-complying.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.