The most common and most likely answer to this crossword clue is the 10 letter word PROMONTORY
I've seen this crossword clue in The Guardian
P
R
O
M
O
N
T
O
R
Y
More clues leading to the result PROMONTORY
- In the main, it's outstanding publicity with name on the right
- American’s ball on right-winger’s head
- Concert attended by old knightin cape
- Film to boost Northern Conservative head
- Bluff new blue following piece of publicity
- Bill quickly embracing Maureen by railway
- Head aware of blocking party line
- Short video covering new Conservative bill
- Concert being performed attended by politician making a point
- Cliff‘s concert on time or close to early
Buddy explains!

The straight part
We know that "head" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case head = promontory.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 PROMONTORY mean?
PROMONTORY noun- A high point of land extending into a body of water, headland; cliff.
- A projecting part of the body.