The most common and most likely answer to this crossword clue is the 7 letter word SHRIEKS
I've seen this crossword clue in The Guardian
S
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More clues leading to the result SHRIEKS
Buddy explains!

The straight part
We know that "screams" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case screams = shrieks.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 SHRIEKS mean?
SHRIEKS noun- A sharp, shrill outcry or scream; a shrill wild cry such as is caused by sudden or extreme terror, pain, or the like.
- An exclamation mark.
- To utter a loud, sharp, shrill sound or cry, as do some birds and beasts; to scream, as in a sudden fright, in horror or anguish.
- To utter sharply and shrilly; to utter in or with a shriek or shrieks.