The most common and most likely answer to this crossword clue is the 4 letter word NOOK
I've seen this crossword clue in Financial Times
N
O
O
K
More clues leading to the result NOOK
- I won't and I will retreat
- No agreement in a tight corner?
- Revolutionary happening upon fine shelter
- Small space satisfactory? Negative response to the fore
- Corner, on turning right
- Noble opposed old king initially in secluded place
- Approval withheld in retreat?
- Amorous behaviour not unknown in secluded little spot
- At the time of retiring certainly goes after secluded spot
- Centre of Grenoble passable for recess
Buddy explains!

The straight part
We know that "recess" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case recess = nook.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 NOOK mean?
NOOK noun- A small corner formed by two walls; an alcove.
- A hidden or secluded spot; a secluded retreat.
- A recess, cove or hollow.
- An English unit of land area, originally 1/4 of a yardland but later 12 1/2 or 20 acres.
- A corner of a piece of land; an angled piece of land, especially one extending into other land.
- To withdraw into a nook.
- To situate in a nook.