Elders have no right to rejoin the Premiership club (5)

I believe the answer is:

leeds

I'm a little stuck... Click here to teach me more about this clue!

'premiership club' is the definition.
'Leeds' can be an answer for 'club' (Leeds United football club). I am unsure of the 'premiership' bit.

'elders have no right to rejoin' is the wordplay.
'have no' indicates named letters should be taken away.
'right' becomes 'r' (common abbreviation).
'to rejoin' indicates an anagram (I've seen 'rejoined' mean this).
'elders' with 'r' taken out is 'eldes'.
'eldes' is an anagram of 'LEEDS'.

'the' acts as a link.

Can you help me to learn more?

(Other definitions for leeds that I've seen before include "Industrial city of northern England" , "British city and premier division football club" , "22 [FA CUP] runners-up" , "Yorks city" , "Soccer team" .)

I've seen this clue in the Evening Standard.

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