The most common and most likely answer to this crossword clue is the 5 letter word TASKS
I've seen this crossword clue in The Daily Telegraph
T
A
S
K
S
More clues leading to the result TASKS
- Duties ultimately – not requests
- Sounds of disapproval about American actions
- Team leader requests work
- A thousand thanks when coming round for work
- Volunteers large number to divide ship’s chores
- Model requests jobs
- What’s on your to-do list? First of ten questions
- Time demands things to do
- Discussions with head of science to replace learner’s assignments
- Assignments with questions provided by teacher initially
Buddy explains!

The straight part
We know that "Assignments" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case assignments = tasks.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 TASKS mean?
TASKS noun- A piece of work done as part of one’s duties.
- A difficult or tedious undertaking.
- An objective.
- A process or execution of a program.
- 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.