Succeeding like rising presidential hopefuls (6,2,6)

I believe the answer is:

coming up trumps

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'succeeding' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.

'rising presidential hopefuls' is the wordplay.
'rising' becomes 'coming up' ('come up' can be a synonym of 'rise').
'presidential hopefuls' becomes 'trumps' (I am not sure about this - if you are sure you should believe this answer much more).
'comingup'+'trumps'='COMING UP TRUMPS'

'like' is the link.

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I've seen this clue in the Sydney Morning Herald.

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