The most common and most likely answer to this crossword clue is the 11 letter word SADDLE-SORE
I've seen this crossword clue in The Guardian
S
A
D
D
L
E
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S
O
R
E
More clues leading to the result SADDLE-SORE
Buddy explains!

The straight part
We know that "Avoid this by not staying up too long/Avoid this by not staying up too long" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case avoid this by not staying up too long/avoid this by not staying up too long = saddle-sore.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.