The most common and most likely answer to this crossword clue is the 10 letter word SKIRMISHES
S
K
I
R
M
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S
H
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Buddy explains!

The straight part
We know that "Encounters" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case encounters = skirmishes.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 SKIRMISHES mean?
SKIRMISHES noun- A brief battle between small groups, usually part of a longer or larger battle or war.
- (by extension) Any minor dispute.
- A type of outdoor military style game using paintball or similar weapons.
- To engage in a minor battle or dispute