The most common and most likely answer to this crossword clue is the 8 letter word ASPIRATE
I've seen this crossword clue in Financial Times
A
S
P
I
R
A
T
E
More clues leading to the result ASPIRATE
- How to pronounce the “h” of “aaargh”?
- Asks half-cut buccaneer to inhale
- H, perhaps, in the role of buccaneer?
- With which Hook starts in the role of buccaneer
- Like illegal broadcaster to pronounce his aitches
- Don’t drop one’s aitches like Captain ’Ook, for example
- Hook’s primary character, thus he’s remembered?
- Pronounced with an H like Hook, for instance
- Begins hunting like a sea-wolf
- In character of bad one at sea? Sound at start of horror
Buddy explains!

The straight part
We know that "Pronounced with an H" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case pronounced with an h = aspirate.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 ASPIRATE mean?
ASPIRATE noun- The puff of air accompanying the release of a plosive consonant.
- A sound produced by such a puff of air.
- A mark of aspiration (#) used in Greek; the asper, or rough breathing.
- To remove a liquid or gas by means of suction.
- To inhale so as to draw something other than air into one's lungs.
- To produce an audible puff of breath. especially following a consonant.
- Aspirated