The most common and most likely answer to this crossword clue is the 4 letter word SHOO
I've seen this crossword clue in The Times
S
H
O
O
More clues leading to the result SHOO
- Fiddle at Kentucky Derby not entirely willingly, hard to get in
- Short-tailed snipe perhaps go away
- Get lost in Oxford, by the sound of it?
- Wrong about famous Doctor being reported — it’s a certainty
- Drive off, cutting short filming
- Get lost mule picked up
- Wrap up eggs and drive away
- Fire brief? Get away!
- Get away with moving heroin left in London area
- I don’t want you giving exclamations of pleasure when turning up
Buddy explains!

The straight part
We know that "Get lost" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case get lost = shoo.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 SHOO mean?
SHOO verb- To induce someone or something to leave.
- To leave under inducement.
- To usher someone.
- (demeaning) Go away! Clear off!