The most common and most likely answer to this crossword clue is the 8 letter word UNLISTED
U
N
L
I
S
T
E
D
Buddy explains!
The straight part
We know that "private shares, for one" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case private shares, for one = unlisted.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 UNLISTED mean?
UNLISTED verb- To undo the process of listing; to remove something from a list.
- Not included in a list.