Relaxed dipping into Milan guidebook (7)

I believe the answer is:

languid

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

'relaxed' is the definition.
(thesaurus)

'into milan guidebook' is the wordplay.
'into' indicates the answer is hidden within the clue.
'LANGUID' is hidden within 'milan guidebook'.

'dipping' is the link.
I am not very happy about this link. It may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for languid that I've seen before include "Unhurried" , "Lacking in vigour or vitality" , "Lazy" , "Lauding for being listless" , "Idolent, lacking vitality" .)

I've seen this clue in The Everyman puzzle in The Observer.

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