The most common and most likely answer to this crossword clue is the 3 plus 6 plus 5 letter word THE SPREAD EAGLE
I've seen this crossword clue in The Guardian
T
H
E
S
P
R
E
A
D
E
A
G
L
E
Buddy explains!
The straight part
We know that "US-signed pub" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case us-signed pub = the spread eagle.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.