The most common and most likely answer to this crossword clue is the 11 letter word CONSTRAINED
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Buddy explains!

The straight part
We know that "kept within bounds" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case kept within bounds = constrained.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 CONSTRAINED mean?
CONSTRAINED verb- To force physically, by strong persuasion or pressuring; to compel; to oblige.
- To keep within close bounds; to confine.
- To reduce a result in response to limited resources.
- Kept within close bounds; confined.
- Forced; compelled.