The most common and most likely answer to this crossword clue is the 9 letter word INTESTATE
I've seen this crossword clue in The Times
I
N
T
E
S
T
A
T
E
More clues leading to the result INTESTATE
- Lacking the will, or much money, not starting car
- Passed dude with no will to take right off US road
- Unwilling, run out of road in America
- Lacking will to reject place in fashionable gallery?
- Home match – worried when Will’s not available
- Digger finally departs from highway, leaving nothing behind
- Indicative of a lack of will
- Not willing to try boring cooking, eat in
- ‘American Way’ missing Republican, lacking a will
- Lacking will to remove first bit of rubble from main road in USA
Buddy explains!

The straight part
We know that "Lacking will" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case lacking will = intestate.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 INTESTATE mean?
INTESTATE noun- A person who dies without making a valid will.
- Without a valid will indicating whom to leave one's estate to after death.
- Not devised or bequeathed; not disposed of by will.