Promoted team relegated - that's topsy-turvy (6-4)

I believe the answer is:

upside-down

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'topsy-turvy' is the definition.
(thesaurus)

'promoted team relegated' is the wordplay.
'promoted' becomes 'up' (I've seen this in other clues).
'team' becomes 'side' (both can mean a sports team).
'relegated' becomes 'down' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'up'+'side'+'down'='UPSIDE-DOWN'

'that's' acts as a link.

Can you help me to learn more?

I've seen this clue in The Irish Independent.

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