The most common and most likely answer to this crossword clue is the 5 plus 4 plus 2 plus 3 plus 7 plus 1 plus 3 plus 1 plus 6 letter word EVERY TIME WE SAY GOODBYE I DIE A LITTLE
I've seen this crossword clue in The Guardian
E
V
E
R
Y
T
I
M
E
W
E
S
A
Y
G
O
O
D
B
Y
E
I
D
I
E
A
L
I
T
T
L
E
Buddy explains!

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.