Men dug in shifting sandwiches and a piece of cake (11)

I believe the answer is:

undemanding

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'men dug in shifting sandwiches and a piece of cake' is the definition.
I can't tell whether this defines the answer.

'men dug in shifting sandwiches and' is the wordplay.
'shifting' is an anagram indicator.
'sandwiches' indicates putting letters inside (goes on either side like a sandwich).
'men'+'dug'+'in'='mendugin'
'mendugin' is an anagram of 'undeming'.
'undeming' going around 'and' is 'UNDEMANDING'.

Can you help me to learn more?

(Another definition for undemanding that I've seen is " Not requiring great skill".)

I've seen this clue in The Independent.

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