The most common and most likely answer to this crossword clue is the 8 letter word HOMEWORK
I've seen this crossword clue in The Daily Telegraph
H
O
M
E
W
O
R
K
Buddy explains!

The straight part
We know that "Kids’ tasks" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case kids’ tasks = homework.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 HOMEWORK mean?
HOMEWORK noun- Work that is done at home, especially school exercises assigned by a teacher.
- Preliminary or preparatory work, such as research.
- Housework.