Bachelor-cum-escort finally displays nether region at home (8)

I believe the answer is:

basement

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

'nether region at home' is the definition.
I can't judge whether this defines the answer.

'bachelor-cum-escort finally' is the wordplay.
'bachelor' becomes 'BA' (Bachelor of Arts).
'cum' becomes 'semen' (I can't explain this - if you can you should give a lot more credence to this answer).
'finally' indicates one should take the final letters.
The last letter of 'escort' is 't'.
'ba'+'semen'+'t'='BASEMENT'

'displays' acts as a link.

Can you help me to learn more?

(Other definitions for basement that I've seen before include "Lowest floor of a building" , "Beats men up in cellar" , "room's full!" , "Floor below ground level" , "Underground room" .)

I've seen this clue in The Independent.

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.