The most common and most likely answer to this crossword clue is the 5 letter word BURKE
I've seen this crossword clue in The Daily Telegraph
B
U
R
K
E
More clues leading to the result BURKE
Buddy explains!

The straight part
We know that "Noble work" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case noble work = burke.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 BURKE mean?
BURKE noun- (sometimes affectionate) A fool, prat, twit.
- Cunt.
- To murder by suffocation
- To murder for the same purpose as Burke, to kill in order to have a body to sell to anatomists, surgeons, etc.
- To smother; to conceal, hush up, suppress.