The most common and most likely answer to this crossword clue is the 2 plus 2 plus 3 plus 6 letter word DO AS YOU PLEASE
D
O
A
S
Y
O
U
P
L
E
A
S
E
Buddy explains!
The straight part
We know that "Invitation to gratification" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case invitation to gratification = do as you please.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.