The most common and most likely answer to this crossword clue is the 9 letter word IDEALISED
I've seen this crossword clue in The Guardian
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More clues leading to the result IDEALISED
Buddy explains!

The straight part
We know that "perfected/perfected" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case perfected/perfected = idealised.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 IDEALISED mean?
IDEALISED verb- To regard something as ideal.
- To conceive or form an ideal.
- To portray using idealization.
- Regarded as ideal.
- Considered as an ideal form of something.