Same motor working in place generating heat? (5,4)

I believe the answer is:

steam room

I'm a little stuck... Click here to teach me more about this clue!

'place generating heat?' is the definition.
I can't judge whether this defines the answer.

'same motor working' is the wordplay.
'working' indicates anagramming the letters.
'same'+'motor'='samemotor'
'samemotor' is an anagram of 'STEAM ROOM'.

'in' acts as a link.

Can you help me to learn more?

(Other definitions for steam room that I've seen before include "sauna" , "Vapour bath -- more atoms (anag)" .)

I've seen this clue in The Guardian.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.