The most common and most likely answer to this crossword clue is the 8 letter word BACKYARD
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More clues leading to the result BACKYARD
Buddy explains!

The straight part
We know that "home territory" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case home territory = backyard.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 BACKYARD mean?
BACKYARD noun- A yard to the rear of a house or similar residence.
- A person's neighborhood, or an area nearby to a person's usual residence or place of work and where the person is likely to go.
- An area nearby to a country or other jurisdiction's legal boundaries, particularly an area in which the country feels it has an interest.