Crossword Genius

Take turns to go through this process for hiring public servants (9,4)

Ross

I believe the answer is:

revolving door

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

'this process for hiring public servants' is the definition.
The definition suggests a singular noun which matches the answer.

'take turns to go through' is the wordplay.
I cannot quite see how this works, but
'take' could be 'do' (eg taking or doing drugs) and 'do' is located in the answer.
'go' is within the answer.
'through' could be 'in' and 'in' is located in the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Another definition for revolving door that I've seen is " Rotating entrance".)

I've seen this clue in The Times.
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