The most common and most likely answer to this crossword clue is the 11 letter word APOTHEOSISE
I've seen this crossword clue in The Times
A
P
O
T
H
E
O
S
I
S
E
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The straight part
We know that "Glorify" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case glorify = apotheosise.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 APOTHEOSISE mean?
APOTHEOSISE verb- To deify, to convert into a god.
- To exalt, glorify.