The most common and most likely answer to this crossword clue is the 9 letter word PRESIDENT
I've seen this crossword clue in The Times
P
R
E
S
I
D
E
N
T
More clues leading to the result PRESIDENT
- Leader kind of tense having stolen passport, say?
- Identification carried by current leader
- I will have diamonds gift-wrapped for head of state
- Quietly living in Cleveland, perhaps
- Gift I’d kept inside for top politician
- US leader in power, living
- In attendance, holding papers for chief executive
- Identification adopted by current leader
- Head of republic under pressure staying in hotel?
- Offering to conceal identity of person in charge
Buddy explains!

The straight part
We know that "Cleveland, perhaps" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cleveland, perhaps = president.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 PRESIDENT mean?
PRESIDENT noun- An act in the past which may be used as an example to help decide the outcome of similar instances in the future.
- A decided case which is cited or used as an example to justify a judgment in a subsequent case.
- An established habit or custom.
- (with definite article) The aforementioned (thing).
- The previous version.
- A rough draught of a writing which precedes a finished copy.
- The head of state of a republic.
- In presidential republics, the head of government and head of state.
- Primary leader of a corporation. Not to be confused with CEO, which is a related but separate position that is sometimes held by a different person.
- A person presiding over a meeting, chair, presiding officer, presider.
- Occupying the first rank or chief place; having the highest authority; presiding.