The most common and most likely answer to this crossword clue is the 6 letter word TASKED
I've seen this crossword clue in The Times
T
A
S
K
E
D
More clues leading to the result TASKED
Buddy explains!
The straight part
We know that "given something to do" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case given something to do = tasked.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 TASKED mean?
TASKED verb- To assign a task to, or impose a task on.
- To oppress with severe or excessive burdens; to tax.
- To charge, as with a fault.