The most common and most likely answer to this crossword clue is the 9 letter word HABITABLE
I've seen this crossword clue in The Times
H
A
B
I
T
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L
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More clues leading to the result HABITABLE
Buddy explains!

The straight part
We know that "fit for home" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fit for home = habitable.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 HABITABLE mean?
HABITABLE adjective- Safe and comfortable, where humans, or other animals, can live; fit for habitation.