Crossword Genius

Cottage hospital unit tucked into eggs regularly (5)

Ross

I believe the answer is:

gents

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

'cottage hospital unit' is the definition.
I can't tell whether this definition defines the answer.

'tucked into eggs regularly' is the wordplay.
'tucked' becomes 'ent' (I can't justify this - if you can you should give a lot more credence to this answer).
'into' means one lot of letters goes inside another.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
The alternate letters of 'eggs' are 'gs'.
'ent' placed inside 'gs' is 'GENTS'.

Can you help me to learn more?

(Other definitions for gents that I've seen before include "Male loos" , "toilet" , "Men (colloq.)" , "Public convenience" .)

I've seen this clue in The Sunday Times and The Times.
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