The most common and most likely answer to this crossword clue is the 11 letter word COMMONPLACE
I've seen this crossword clue in The Times
C
O
M
M
O
N
P
L
A
C
E
More clues leading to the result COMMONPLACE
Buddy explains!

The straight part
We know that "Pedestrian/public location" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case pedestrian/public location = commonplace.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 COMMONPLACE mean?
COMMONPLACE noun- A platitude or cliché.
- Something that is ordinary; something commonly done or occurring.
- A memorandum; something to be frequently consulted or referred to.
- A commonplace book.
- To make a commonplace book.
- To enter in a commonplace book, or to reduce to general heads.
- To utter commonplaces; to indulge in platitudes.
- Ordinary; not having any remarkable characteristics.