Cryptic crossword clue
Becomes more inclined to compose, enthralled by small pegs 8

The most common and most likely answer to this crossword clue is the 8 letter word STEEPENS

S
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Buddy explains!

The straight part
We know that "Becomes more inclined" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case becomes more inclined = steepens.
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 STEEPENS mean?

STEEPENS verb
  1. To make steeper.
  2. To become steeper.

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