The most common and most likely answer to this crossword clue is the 3 letter word ALL
I've seen this crossword clue in The Times
A
L
L
More clues leading to the result ALL
- Total when innings complete?
- Everybody in a large lake
- Quite a couple of lines
- Quite a large lake
- Total fan of Chicago gangster
- Sort of track something boring, if listened to
- Stella drunk in Rock could get you this
- Quite a posh residence in the East End?
- The whole of the room, except Henry
- Versatile cricketer in every short game
Buddy explains!

The straight part
We know that "of celebrity status" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case of celebrity status = all.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 ALL mean?
ALL noun- (with a possessive pronoun) Everything that one is capable of.
- The totality of one's possessions.
- All gone; dead.
- (degree) Intensifier.
- Entirely; completely; totally.
- Apiece; each.
- (degree) so much.
- Even; just.
- Everything.
- Everyone.
- The only thing(s).
- Used after who, what, where, how and similar words, either without changing their meaning, or indicating that one expects that they cover more than one element, e.g. that "who all attended" is more than one person. (Some dialects only allow this to follow some words and not others.)
- Clipping of y’all. Used only as a vocative.
- Although.