The most common and most likely answer to this crossword clue is the 7 letter word AVOWING
I've seen this crossword clue in The Guardian
A
V
O
W
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Buddy explains!

The straight part
We know that "making a statement" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case making a statement = avowing.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 AVOWING mean?
AVOWING verb- To declare openly and boldly, as something believed to be right; to own, acknowledge or confess frankly.
- To bind or devote by a vow.
- To acknowledge and justify, as an act done. See avowry.