The most common and most likely answer to this crossword clue is the 5 letter word APSES
A
P
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More clues leading to the result APSES
Buddy explains!

The straight part
We know that "Recesses" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case recesses = apses.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 APSES mean?
APSES noun- A semicircular projection from a building, especially the rounded east end of a church that contains the altar.
- The bishop's seat or throne in ancient churches.
- A reliquary, or case in which the relics of saints were kept.
- The nearest and furthest points to the centre of gravitational attraction for a body in orbit. More usually called an apsis.
- An aspen tree.