The most common and most likely answer to this crossword clue is the 5 letter word SOUTH
I've seen this crossword clue in The Guardian
S
O
U
T
H
More clues leading to the result SOUTH
- Lad losing head in Main Street in Kent area
- Not at home during quiet quarter
- Bridge opponents in the home counties
- A point briefly pinched by masseur
- So do Hotpoint?
- There’s a bit of money on the street around a relatively prosperous region
- Sort of wind briefly penetrating this window
- Downright when giving directions
- Going here might indicate deterioration
- A point for developing nations
Buddy explains!

The straight part
We know that "quarte" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case quarte = south.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 SOUTH mean?
SOUTH noun- One of the four major compass points, specifically 180°, directed toward the South Pole, and conventionally downwards on a map, abbreviated as S.
- The side of a church on the right hand of a person facing the altar.
- To turn or move toward the south; to veer toward the south.
- To come to the meridian; to cross the north and south line.
- Toward the south; southward.
- (of wind) from the south.
- Of or pertaining to the south; southern.
- Pertaining to the part of a corridor used by southbound traffic.
- Toward the south; southward.
- Downward.
- In an adverse direction or trend (go south).
- Of wind, from the south.