The most common and most likely answer to this crossword clue is the 9 plus 4 letter word CELESTIAL BODY
C
E
L
E
S
T
I
A
L
B
O
D
Y
Buddy explains!
The straight part
We know that "A heavenly sight" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case a heavenly sight = celestial body.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.