The most common and most likely answer to this crossword clue is the 6 plus 6 letter word PUSHMI PULLYU
P
U
S
H
M
I
P
U
L
L
Y
U
Buddy explains!
The straight part
We know that "Hugh’s cross" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case hugh’s cross = pushmi pullyu.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.