The most common and most likely answer to this crossword clue is the 5 letter word FURRY
F
U
R
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More clues leading to the result FURRY
Buddy explains!

The straight part
We know that "hairy" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case hairy = furry.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 FURRY mean?
FURRY noun- An animal character with human-like characteristics; most commonly refers to such characters created by members of the furry subculture.
- A member of the furry fandom.
- Someone who roleplays or identifies with a furry character. (Compare therianthrope.)
- Covered with fur, or with something resembling fur.
- Of or related to the furry subculture.