The most common and most likely answer to this crossword clue is the 7 letter word INGÉNUE
I've seen this crossword clue in Independent
I
N
G
Ã
‰
N
U
E
More clues leading to the result INGÉNUE
- Frank bringing home forward but artless girl
- Artless individual in group giving off singular energy
- Naive female at home, sincere, not trendy
- Female without experience strangely genuine
- Unsophisticated girl and Frank moving in
- Naive girl regularly found in giant green cube
- Inexperienced female, natural, in being moved to take the lead
- Genuine training for beginner
- Female who is naive and authentic, putting home to the fore
- Her naive appearance could be genuine
Buddy explains!

The straight part
We know that "one’s a bit green" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one’s a bit green = ingÉnue.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 INGÉNUE mean?
INGÉNUE noun- An innocent, unsophisticated, naïve, wholesome girl or young woman.
- A dramatic role of such a woman; an actress playing such a role.