The most common and most likely answer to this crossword clue is the 12 letter word BUSHWHACKING
I've seen this crossword clue in The Times
B
U
S
H
W
H
A
C
K
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G
Buddy explains!

The straight part
We know that "moving in the outback" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case moving in the outback = bushwhacking.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 BUSHWHACKING mean?
BUSHWHACKING verb- To travel through thick wooded country, cutting away scrub to make progress
- To fight, as a guerilla, especially in wooded country
- To ambush
- Travelling through thick wooded country, cutting away scrub to make progress
- Fighting, as a guerilla, especially in wooded country
- Criticizing, by someone or a person(s), on policies and stances by George W. Bush, in forums and discussions