The most common and most likely answer to this crossword clue is the 5 letter word NICHE
I've seen this crossword clue in The Times
N
I
C
H
E
More clues leading to the result NICHE
- Med resort's inspiring hotel in suitable place
- Recess in cliff-side road, corner half obscured
- Hotel in Med resort designed for specific market
- Hotel in pleasant position
- Husband put in delicate position
- Hot in pleasant corner
- Suitable position hospital's got in NHS advisory body
- Specialized hospital in pleasant surroundings?
- Henry in French resort for recess
- Position offered by sardonic headmaster
Buddy explains!

The straight part
We know that "corner" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case corner = niche.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 NICHE mean?
NICHE noun- A cavity, hollow, or recess, generally within the thickness of a wall, for a statue, bust, or other erect ornament. Hence, any similar position, literal or figurative.
- A function within an ecological system to which an organism is especially suited.
- (by extension) Any position of opportunity for which one is well-suited, such as a particular market in business.
- An arrow woven into a prayer rug pointing in the direction of qibla.
- To place in a niche.
- To specialize in a niche, or particular narrow section of the market.
- Pertaining to or intended for a market niche; having specific appeal.