The most common and most likely answer to this crossword clue is the 9 letter word FIREPLACE
I've seen this crossword clue in Independent
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Buddy explains!

The straight part
We know that "&lit-ish again? – somewhere one would not be shaking (shivering) if standing by (a lit) one?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case &lit-ish again? – somewhere one would not be shaking (shivering) if standing by (a lit) one? = fireplace.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 FIREPLACE mean?
FIREPLACE noun- An open hearth for holding a fire at the base of a chimney.