The most common and most likely answer to this crossword clue is the 5 letter word LIVID
I've seen this crossword clue in The Times
L
I
V
I
D
More clues leading to the result LIVID
- Be, for the most part, extremely ill-disposed and very cross
- Wild clip uncovered, short film
- Black and blue hat worn by 6
- Raging against one breaking cover
- Black and blue Roman numerals
- With head ten times bigger, intensely coloured black and blue
- Devilish, he’s gone stomping out and angry
- Six brought under cover are angry
- Angry numbers?
- Angry figures in Ancient Rome
Buddy explains!

The straight part
We know that "very cross" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case very cross = livid.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 LIVID mean?
LIVID adjective- Having a dark, bluish appearance.
- Pale, pallid.
- So angry that one turns pale; very angry; furious.