Cryptic crossword clue
Source, average over time, becoming anxious to please 4-5

The most common and most likely answer to this crossword clue is the 10 letter word WELL-MEANT

I've seen this crossword clue in Independent
W
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Buddy explains!

The straight part
We know that "anxious to please" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case anxious to please = well-meant.
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 WELL-MEANT mean?

WELL-MEANT adjective
  1. Having good intentions, even if resulting in unfortunate consequences.

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