Criminal safely idles in Greek paradise (7,6)

I believe the answer is:

elysian fields

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'greek paradise' is the definition.
I know nothing about this answer so I can't tell whether this works.

'criminal safely idles in' is the wordplay.
'criminal' indicates an anagram.
'safely'+'idles'+'in'='safelyidlesin'
'safelyidlesin' with letters rearranged gives 'ELYSIAN FIELDS'.

Can you help me to learn more?

(Other definitions for elysian fields that I've seen before include "state of perfect happiness" , "(Mythological) Abode of the dead" .)

I've seen this clue in The Independent.

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