The most common and most likely answer to this crossword clue is the 10 letter word AIRBRUSHED
I've seen this crossword clue in The Times
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Buddy explains!

The straight part
We know that "Possibly made perfect" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case possibly made perfect = airbrushed.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 AIRBRUSHED mean?
AIRBRUSHED verb- To paint using an airbrush.
- To touch up or enhance a photograph or person, often with intent to mislead.
- Having been manipulated with an airbrush.
- (by extension) Having had imperfections and blemishes removed through digital manipulation.