The most common and most likely answer to this crossword clue is the 4 letter word JOCK
I've seen this crossword clue in Independent
J
O
C
K
More clues leading to the result JOCK
Buddy explains!

The straight part
We know that "DJ" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dj = jock.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 JOCK mean?
JOCK noun- A common man.
- A Scotsman.
- The penis.
- An athletic supporter worn by men to support the genitals especially during sports, a jockstrap.
- A young male athlete (through college age).
- An enthusiastic athlete or sports fan, especially one with few other interests. A slow-witted person of large size and great physical strength. A pretty boy that shows off in sport.
- A disc jockey.
- (in combination) A specialist computer programmer.
- To masturbate
- To humiliate
- To steal