The most common and most likely answer to this crossword clue is the 6 letter word SICKIE
I've seen this crossword clue in Financial Times
S
I
C
K
I
E
More clues leading to the result SICKIE
- Staff taking time out — in other words, a possible skive?
- Throws up endlessly, nursing itch alternately? It could mean day off work
- Slick lie yielding students a sneaky day off
- Rod needs time off – that is, day off work
- Period for dealing with disorder?
- For starters, everyone instinctively knows cut in salary coming – day taken off work
- A day off? Yes and no!
- It may be thrown underhandedly when enjoying a day off
- One’s thrown to get a day off!
- Disappointed over idea, regularly ignored for career break?
Buddy explains!

The straight part
We know that "Period for dealing with disorder" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case period for dealing with disorder = sickie.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 SICKIE mean?
SICKIE noun- A day, or time, off work due to (supposed) illness.