Established genuine backing for Polonius's son (7)

I believe the answer is:

laertes

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'polonius's son' is the definition.
I can't tell whether this defines the answer.

'established genuine backing' is the wordplay.
'established' becomes 'set' (set can mean established or agreed upon).
'genuine' becomes 'real' (associated in meaning).
'backing' says the letters should be written in reverse.
'set'+'real'='setreal'
'setreal' back-to-front is 'LAERTES'.

'for' acts as a link.

Can you help me to learn more?

(Other definitions for laertes that I've seen before include "Shakespearean character" , "Man at Danish court" , "Ophelia's brother (Hamlet)" , "killer in drama" , "... killer of prince" .)

I've seen this clue in The Irish Independent.

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