The most common and most likely answer to this crossword clue is the 4 plus 9 plus 2 letter word MAKE MINCEMEAT OF
I've seen this crossword clue in The Times
M
A
K
E
M
I
N
C
E
M
E
A
T
O
F
Buddy explains!
The straight part
We know that "Chop up cane, crush and lick" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case chop up cane, crush and lick = make mincemeat of.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.