The most common and most likely answer to this crossword clue is the 7 letter word SEEKING
I've seen this crossword clue in The Sunday Telegraph
S
E
E
K
I
N
G
Buddy explains!

The straight part
We know that "hunting" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case hunting = seeking.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 SEEKING mean?
SEEKING verb- To try to find; to look for; to search for.
- To ask for; to solicit; to beseech.
- To try to acquire or gain; to strive after; to aim at.
- To go, move, travel (in a given direction).
- To try to reach or come to; to go to; to resort to.
- To attempt, endeavour, try
- To navigate through a stream.
- The act of one who seeks; a search or quest to find something.
- (in combination) That seeks something specified.