The most common and most likely answer to this crossword clue is the 4 plus 2 plus 4 letter word READ MY LIPS
I've seen this crossword clue in The Times
R
E
A
D
M
Y
L
I
P
S
Buddy explains!

The straight part
We know that "listen to me" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case listen to me = read my lips.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.