The most common and most likely answer to this crossword clue is the 8 letter word DENTURES
I've seen this crossword clue in The Daily Telegraph
D
E
N
T
U
R
E
S
More clues leading to the result DENTURES
- Unrested, somehow, set to come out at night
- Teeth make an impression on your outspoken son
- Somehow unrested, set to come out at night
- Ballsed-up US tender, removed overnight?
- Lexicographer, sure to get excited by word for new teeth
- Short shift should include merry tune for such a set
- Choppers seen out in middle of night?
- New trend: use false teeth
Buddy explains!

The straight part
We know that "such a set" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case such a set = dentures.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 DENTURES mean?
DENTURES noun- A set of teeth, the teeth viewed as a unit
- An artificial replacement of one or more teeth
- (often in the plural) a complete replacement of all teeth in a mouth