The most common and most likely answer to this crossword clue is the 4 letter word WILE
I've seen this crossword clue in The Times
W
I
L
E
More clues leading to the result WILE
Buddy explains!

The straight part
We know that "Cunning procedure" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cunning procedure = wile.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 WILE mean?
WILE verb- To pass (time) idly.
- To occupy or entertain (someone) in order to let time pass.
- To loiter.
- (usually in the plural) A trick or stratagem practiced for ensnaring or deception; a sly, insidious artifice
- To entice or lure