Endure regularly playing in US borough (8)

I believe the answer is:

brooklyn

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'us borough' is the definition.
'brooklyn' can be an answer for 'borough' (borough of New York City). I am not certain of the 'us' bit.

'endure regularly playing' is the wordplay.
'endure' becomes 'brook' (synonyms).
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
The alternating letters of 'playing' are 'lyn'.
'brook'+'lyn'='BROOKLYN'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for brooklyn that I've seen before include "NYC borough, book and film" , "New York borough with famous bridge." , "New York City borough" , "part of Long Island?" , "Big Apple borough" .)

I've seen this clue in The Independent.

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