The most common and most likely answer to this crossword clue is the 8 letter word PERMATAN
P
E
R
M
A
T
A
N
Buddy explains!
The straight part
We know that "Hollywood star may have this" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case hollywood star may have this = permatan.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 PERMATAN mean?
PERMATAN noun- A perpetual tan.