Girl raced around behind a place of amusement (5,6)

I believe the answer is:

penny arcade

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'of amusement' is the definition.
The definition suggests a singular noun which matches the answer.

'girl raced around behind a' is the wordplay.
'girl' becomes 'penny' (woman's name).
'around' is an anagram indicator.
'behind' says to put letters next to each other.
'raced' anagrammed gives 'rcade'.
'rcade' put after 'a' is 'arcade'.
'penny'+'arcade'='PENNY ARCADE'

'place' is the link.

Can you help me to learn more?

(Other definitions for penny arcade that I've seen before include "Place of cheap entertainment" , "Entertainment area with coin-operated machines" .)

I've seen this clue in The Daily Express.

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