The most common and most likely answer to this crossword clue is the 11 letter word FREE-LIVING
I've seen this crossword clue in The Guardian
F
R
E
E
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L
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Buddy explains!

The straight part
We know that "Uninhibited" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case uninhibited = free-living.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 FREE-LIVING mean?
FREE-LIVING adjective- (of an organism) That lives independently of other organisms rather than part of a symbiotic or parasitic relationship