The most common and most likely answer to this crossword clue is the 5 plus 4 plus 1 letter word RAISE CAIN I
I've seen this crossword clue in The Times
R
A
I
S
E
C
A
I
N
I
Buddy explains!
The straight part
We know that "Make fuss" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case make fuss = raise cain i.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.