'Hot Lips' a MASH nurse works here (8)

I believe the answer is:

hospital

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'nurse works here' is the definition.
Although both the answer and definition are singular nouns, I can't understand how one could define the other.

'hot lips a mash' is the wordplay.
'mash' indicates an anagram (letters mashed up).
'hot'+'lips'+'a'='hotlipsa'
'hotlipsa' with letters rearranged gives 'HOSPITAL'.

Can you help me to learn more?

(Other definitions for hospital that I've seen before include "Sanatorium" , "Medical centre" , "Spoil hat (anag)" , "asylum?" , "medical facility!" .)

I've seen this clue in The Globe and Mail.

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