The most common and most likely answer to this crossword clue is the 11 letter word IMPORTUNING
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Buddy explains!
The straight part
We know that "Begging" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case begging = importuning.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 IMPORTUNING mean?
IMPORTUNING verb- To bother, trouble, irritate.
- To harass with persistent requests.
- To approach to offer one's services as a prostitute, or otherwise make improper proposals.
- To import; to signify.
- The act by which somebody is importuned; pleading harassment.