The most common and most likely answer to this crossword clue is the 5 plus 5 letter word GRETA GARBO
I've seen this crossword clue in The Guardian
G
R
E
T
A
G
A
R
B
O
More clues leading to the result GRETA GARBO
- Abide With Me no hymn for this actress?
- Boast about visiting great eccentric old star
- Rocker covering starlet’s bottom with jelly, might she have wanted some me time?
- Bogart raged endlessly about leading actress
- Actor Bogart shaking with rage
- Time to appear earlier in big dress: Oscar for actress
- Actress making Bogart rage, uncontrollably
- Film star once: not exactly great, nothing to show off about
- See actress in great cocktail dress before start of Oscars
- 1 to make garbage rot!
Buddy explains!
The straight part
We know that "might she have wanted some me time? (5,5)" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case might she have wanted some me time? (5,5) = greta garbo.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.