The most common and most likely answer to this crossword clue is the 8 letter word ARACHNID
I've seen this crossword clue in The Daily Telegraph
A
R
A
C
H
N
I
D
More clues leading to the result ARACHNID
- Spider rain had disturbed, securing cover initially
- Maybe a mite cheeky, keeping a rumpus up
- Maybe tick playing card in a hand, initially
- Drunk — and a rich web designer
- Contribution of rich and a mite for example
- Child entertained by a queen and daughter may be a mite
- Scorpion perhaps caught hen heartlessly in an attack
Buddy explains!

The straight part
We know that "web designer" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case web designer = arachnid.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 ARACHNID mean?
ARACHNID noun- Any of the eight-legged creatures, including spiders and scorpions, of the class Arachnida.