Sleep easily at first, with this on pillow? (4)

I believe the answer is:

nape

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'this on pillow?' is the definition.
The definition suggests a singular noun which matches the answer.

'sleep easily at first' is the wordplay.
'sleep' becomes 'nap' (a nap is a short sleep).
'at first' indicates taking the first letters.
The initial letter of 'easily' is 'e'.
'nap'+'e'='NAPE'

'with' is the link.

Can you help me to learn more?

(Other definitions for nape that I've seen before include "Girl personifying France" , "sofa" , "It's a pane in the neck" , "Scrag" , "Scruff of the neck" .)

I've seen this clue in The Times.

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