The most common and most likely answer to this crossword clue is the 5 letter word ATMAN
I've seen this crossword clue in Independent
A
T
M
A
N
Buddy explains!
The straight part
We know that "the divine within the self" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case the divine within the self = atman.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 ATMAN mean?
ATMAN noun- (Vedanta) The true self of an individual beyond identification with worldly phenomena, the essence of an individual, an infinitesimal part of Brahman.