The most common and most likely answer to this crossword clue is the 8 letter word SURVEYOR
I've seen this crossword clue in The Guardian
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More clues leading to the result SURVEYOR
Buddy explains!

The straight part
We know that "Inspector of property" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case inspector of property = surveyor.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 SURVEYOR mean?
SURVEYOR noun- A person occupied with surveying -- the process of determining positions on the earth's surface.
- A person charged with inspecting something for the purpose of determining its condition, value, etc.