The most common and most likely answer to this crossword clue is the 3 plus 7 letter word ART GALLERY
I've seen this crossword clue in The Guardian
A
R
T
G
A
L
L
E
R
Y
Buddy explains!

The straight part
We know that "Walker might precede it/Walker might precede it" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case walker might precede it/walker might precede it = art gallery.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.