The most common and most likely answer to this crossword clue is the 4 letter word DRAB
I've seen this crossword clue in The Times
D
R
A
B
More clues leading to the result DRAB
- Dull poet making a comeback
- Dreary versifier on way back
- Lacking brightness, poet is sent up
- Tar on road turned grey
- Grey flatfish crossing river
- Boring research originally introduced by expert
- Dull retrospective look at lyricist
- Dreary poet returns
- Dull-brown bones seaman found
- Rather dull old poet from the east
Buddy explains!

The straight part
We know that "grey" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case grey = drab.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.