The most common and most likely answer to this crossword clue is the 7 letter word CONDONE
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More clues leading to the result CONDONE
Buddy explains!

The straight part
We know that "Overlook" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case overlook = condone.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 CONDONE mean?
CONDONE verb- To forgive, excuse or overlook (something that is considered morally wrong, offensive, or generally disliked).
- To allow, accept or permit (something that is considered morally wrong, offensive, or generally disliked).
- To forgive (marital infidelity or other marital offense).