The most common and most likely answer to this crossword clue is the 4 plus 6 letter word MUTE BUTTON
I've seen this crossword clue in The Times
M
U
T
E
B
U
T
T
O
N
More clues leading to the result MUTE BUTTON
Buddy explains!
The straight part
We know that "It offers confidence when depressed" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case it offers confidence when depressed = mute button.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.