The most common and most likely answer to this crossword clue is the 9 letter word HEIRLOOMS
I've seen this crossword clue in Financial Times
H
E
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R
L
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More clues leading to the result HEIRLOOMS
Buddy explains!

The straight part
We know that "Heritage" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case heritage = heirlooms.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 HEIRLOOMS mean?
HEIRLOOMS noun- A valued possession that has been passed down through the generations.
- An old crop variety that has been passed down through generations of farmers by seed saving and cultivation, in contrast to modern cultivars used in large-scale agriculture.