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Extremely idle old king entered after a president (4,5)

Ross

I believe the answer is:

like crazy

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'extremely' is the definition.
Both the definition and answer are adverbs. Perhaps there's an association between them I don't understand?

'idle old king entered after a president' is the wordplay.
I cannot quite see how this works, but
'king' could be 'cr' (short for Carolus Rex, King Charles in Latin) and 'cr' is located in the answer.
'a' is found in the answer.
'president' could be 'ike' (nickname of Dwight Eisenhower) and 'ike' is found in the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for like crazy that I've seen before include "great enthusiasm" , "Very much" , "Furiously" .)

I've seen this clue in The Daily Express.
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