The most common and most likely answer to this crossword clue is the 8 plus 4 letter word GOLDFISH BOWL
I've seen this crossword clue in The Guardian
G
O
L
D
F
I
S
H
B
O
W
L
More clues leading to the result GOLDFISH BOWL
- First prize catch to get out in the public sphere!
- Swimmer’s hi-vis jacket?
- Good angle to capture ancient stadium’s facility for swimmers
- Flog dish, potty, and basin in place lacking privacy
- Good angle to enclose ancient stadium where there’s no privacy
- Metal bird covering angle on front of building that offers no privacy
Buddy explains!

The straight part
We know that "that offers no privacy" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case that offers no privacy = goldfish bowl.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.