Crossword Genius

Public transport turning up prepared for part of a group (6)

Ross

I believe the answer is:

subset

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'part of a group' is the definition.
The answer and definition can be both groups as well as being singular nouns.
Perhaps there's a link between them I don't understand?

'public transport turning up prepared' is the wordplay.
'public transport' becomes 'bus' (bus is a kind of public transport).
'turning up' shows that the letters should be reversed in order.
'prepared' becomes 'set' (set up or ready).
'bus' backwards is 'sub'.
'sub'+'set'='SUBSET'

'for' acts as a link.

Can you help me to learn more?

(Other definitions for subset that I've seen before include "A collection of things forming part of a larger collection" , "small class?" , "Group within a group" , "Small group nested inside larger group" , "Not all the members" .)

I've seen this clue in The Times.
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