The most common and most likely answer to this crossword clue is the 3 plus 5 letter word ICE STORM
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More clues leading to the result ICE STORM
- Tom cries uncontrollably — it's cold and windy
- Freezing weather, wind comes with it – that’s about right
- Bad weather that’s most cold, right?
- It comes out about right, resulting in a chilling disturbance
- Sir, come around beginning of the blizzard
- Primarily inclement, chilly – even Siberian – tempest, often restricting mobility?
Buddy explains!

The straight part
We know that "a chilling disturbance" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case a chilling disturbance = ice storm.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.