Spy after spy circling rear of White House (11)

I believe the answer is:

plantagenet

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

'house' is the definition.
(historical royal house)

'spy after spy circling rear of white' is the wordplay.
'spy' becomes 'plant' (someone planted somewhere to spy).
'after spy' becomes 'agent' (secret agent. I am not sure about the 'after' bit.).
'circling' is an insertion indicator (circling can mean going around or containing).
'rear of' indicates one should take the final letters.
The final letter of 'white' is 'e'.
'agent' placed around 'e' is 'agenet'.
'plant'+'agenet'='PLANTAGENET'

Can you help me to learn more?

(Other definitions for plantagenet that I've seen before include "Former English royal family" , "Member of English royal house from Henry II to Richard III" , "royal dynasty" , "9 [HOUSE]" .)

I've seen this clue in The Times.

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.