Dear Ken's running around with less on (7)

I believe the answer is:

nakeder

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

'with less on' is the definition.
I can't judge whether this defines the answer.

'dear ken's running' is the wordplay.
'running' indicates an anagram (the letters run around to different places).
'dear'+'ken'='dearken'
'dearken' anagrammed gives 'NAKEDER'.

'around' is the link.

Can you help me to learn more?

(Another definition for nakeder that I've seen is " wearing fewer clothes".)

I've seen this clue in The Independent.

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