The most common and most likely answer to this crossword clue is the 10 letter word ASSORTMENT
I've seen this crossword clue in The Sunday Telegraph
A
S
S
O
R
T
M
E
N
T
More clues leading to the result ASSORTMENT
- Matters son mismanaged — lots of different things
- Mix with kind soldiers in a street
- Diverse bunch messed about on mattress
- Reviewed Italian red: on the nose, tannin; at the finish, plum and lychee — an unpleasant mixture
- Sanction old registered trademark “Bottled Potpourri”
- A variety of omens? Start worrying!
- Choice mattress on ground
- When ugly monster initially terrified mixed group
- A street full of kind people, a mixed bag
- No smart set — jumbled collection of various items
Buddy explains!

The straight part
We know that "Variety" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case variety = assortment.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 ASSORTMENT mean?
ASSORTMENT noun- A collection of varying but related items.