The most common and most likely answer to this crossword clue is the 10 letter word INTENTIONS
I've seen this crossword clue in The Daily Telegraph
I
N
T
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Buddy explains!

The straight part
We know that "Objects" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case objects = intentions.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 INTENTIONS mean?
INTENTIONS noun- The goal or purpose behind a specific action or set of actions.
- Tension; straining, stretching.
- A stretching or bending of the mind toward an object or a purpose (an intent); closeness of application; fixedness of attention; earnestness.
- The object toward which the thoughts are directed; end; aim.
- Any mental apprehension of an object.
- The process of the healing of a wound.