The most common and most likely answer to this crossword clue is the 9 letter word RUSTPROOF
I've seen this crossword clue in The Times
R
U
S
T
P
R
O
O
F
Buddy explains!
The straight part
We know that "Showing a certain incorruptibility" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case showing a certain incorruptibility = rustproof.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 RUSTPROOF mean?
RUSTPROOF verb- To make resistant to rust, such as by applying a coating.
- Resistant to rust, oxidation and corrosion.