Crossword Genius

Going for a song and dance did amaze one (1,4,1,5)

Ross

I believe the answer is:

a dime a dozen

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

'going for a song' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'dance did amaze one' is the wordplay.
'dance' indicates an anagram (I've seen this in other clues).
'did'+'amaze'+'one'='didamazeone'
'didamazeone' is an anagram of 'A DIME A DOZEN'.

'and' acts as a link.

Can you help me to learn more?

(Other definitions for a dime a dozen that I've seen before include "Very common; of little value" , "Cheap (for Americans)" .)

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