The most common and most likely answer to this crossword clue is the 8 letter word OVERHANG
I've seen this crossword clue in Financial Times
O
V
E
R
H
A
N
G
More clues leading to the result OVERHANG
Buddy explains!
The straight part
We know that "Project" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case project = overhang.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 OVERHANG mean?
OVERHANG noun- The volume that tips the balance between the demand and the supply toward demand lagging supply.
- That portion of the roof structure that extends beyond the exterior walls of a building.
- A fatty roll of pubis flab that hangs over one's genitals; a FUPA.
- Anything that overhangs or protrudes over its base, such as a wave immediately before breaking, or a protruding cliff or rock wall.
- To hang over (something).
- To impend.