The most common and most likely answer to this crossword clue is the 9 letter word ADULATION
I've seen this crossword clue in Independent
A
D
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L
A
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More clues leading to the result ADULATION
- Excessive praise of grown-up touring area, one on cricket side
- To laud in a way that’s flattering
- Great love a lout and I buggered up
- Excessive praise from grown-up shielding a particle
- Performance by a Latin duo gets pats on the back
- Praise in article ain’t loud, unfortunately
- Praise grown-up concealing a negative bit of information in review
- To laud in a new excess of flattery
- Worship a dancing latin duo
- Notice superior language conveying love and hero-worship
Buddy explains!

The straight part
We know that "Great love" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case great love = adulation.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 ADULATION mean?
ADULATION noun- Flattery; fulsome praise.