The most common and most likely answer to this crossword clue is the 6 letter word YOICKS
I've seen this crossword clue in The Guardian
Y
O
I
C
K
S
More clues leading to the result YOICKS
- Old friend of Hamlet ignoring King's hunting call
- Court jester’s run away? Come on you dogs; after him!
- Duck I caught in the air recalled hunter’s cry
- Call from the pink for return of some US unions in the blue
- Excited expression of character in Hamlet, not king or queen
- . Year old mongrel sick of hunting cry
Buddy explains!

The straight part
We know that "hunter’s cry" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case hunter’s cry = yoicks.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.