The most common and most likely answer to this crossword clue is the 6 letter word ASSIGN
I've seen this crossword clue in The Times
A
S
S
I
G
N
More clues leading to the result ASSIGN
- A second error involving Government's head delegate
- Appoint a small board to give public information
- Detail in a small symbol
- Give out a wave, perhaps, using radio
- A singular error masks good attribute
- Give a wave to dictator
- Entrust with reporting a function
- Fix a direction indicator
- Heartless Americans trace delegate
- Delegate, a southern character
Buddy explains!

The straight part
We know that "Give out" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case give out = assign.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 ASSIGN mean?
ASSIGN noun- An assignee.
- A thing relating or belonging to something else; an appurtenance.
- An assignment or appointment.
- A design or purpose.
- To designate or set apart something for some purpose.
- To appoint or select someone for some office.
- To allot or give something as a task.
- To attribute or sort something into categories.
- To transfer property, a legal right, etc., from one person to another.
- To give (a value) to a variable.