Crossword Genius

Judge has trouble with home getting cooler (9)

Ross

I believe the answer is:

jailhouse

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'cooler' is the definition.
The definition and answer can be both man-made objects as well as being singular nouns.
Perhaps they are linked in a way I don't understand?

'judge has trouble with home' is the wordplay.
'judge' becomes 'J' (abbreviation for judge).
'has' is a charade indicator (letters next to each other).
'trouble' becomes 'ail' (synonyms).
'with' is a charade indicator (letters next to each other).
'home' becomes 'house' (I've seen this before).
'j'+'ail'+'house'='JAILHOUSE'

'getting' is the link.

Can you help me to learn more?

(Other definitions for jailhouse that I've seen before include "Southern US prison" , "Correctional institution" , "Prison (USA)" , "-- Rock, Elvis Presley movie" .)

I've seen this clue in The Guardian.
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