The most common and most likely answer to this crossword clue is the 10 letter word HEARTLANDS
I've seen this crossword clue in Financial Times
H
E
A
R
T
L
A
N
D
S
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The straight part
We know that "central territory" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case central territory = heartlands.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 HEARTLANDS mean?
HEARTLANDS noun- The central part of a region defined by geographical or non-geographical criteria, such as support for a political party, faith or similar.
- The part of a region considered essential to the viability and survival of the whole.