Beg while working fairground feature (3,5)

I believe the answer is:

big wheel

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'fairground feature' is the definition.
Although both the answer and definition are singular nouns, I can't see how they can define each other.

'beg while working' is the wordplay.
'working' is an anagram indicator.
'beg'+'while'='begwhile'
'begwhile' anagrammed gives 'BIG WHEEL'.

Can you help me to learn more?

(Other definitions for big wheel that I've seen before include "Fairground attraction - VIP" , "Important person - fair attraction" , "Fair experience" , "Fairground attraction - important person" , "Amusement as London Eye" .)

I've seen this clue in The Times.

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