The most common and most likely answer to this crossword clue is the 6 letter word IMPOSE
I
M
P
O
S
E
More clues leading to the result IMPOSE
- The author's facade's put on
- Poem’s modified after one command
- Setter’s attitude is to take advantage
- Politician enters No 10 with special European charge
- Set task one thousand sit
- The setter’s model is exact
- Establish this person’s stance
- Burden young offender with some medicine? Not at first
- Lay on short job in magazine lacking cover
- I am to sit in saddle
Buddy explains!

The straight part
We know that "Set task" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case set task = impose.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 IMPOSE mean?
IMPOSE verb- To establish or apply by authority.
- To be an inconvenience (on or upon)
- To enforce: compel to behave in a certain way
- To practice a trick or deception (on or upon).
- To lay on, as the hands, in the religious rites of confirmation and ordination.
- To arrange in proper order on a table of stone or metal and lock up in a chase for printing; said of columns or pages of type, forms, etc.