Cryptic crossword clue
Youngster can initially grasp one element of arithmetic? 7

The most common and most likely answer to this crossword clue is the 7 letter word TOTTING

I've seen this crossword clue in The Times
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The straight part
We know that "one element of arithmetic?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one element of arithmetic? = totting.
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 TOTTING mean?

TOTTING verb
  1. To sum or total.
  2. To mark (a debt) with the word tot (Latin for "so much"), indicating that it was good or collectible for the amount specified.
TOTTING noun
  1. The act of totting or adding up; an addition.

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