Adam's cover was a fruit page (3-4)

I believe the answer is:

fig-leaf

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'adam's cover' is the definition.
The answer and definition can be both man-made objects as well as being singular nouns.
Maybe there's a link between them I don't understand?

'a fruit page' is the wordplay.
'a fruit' becomes 'fig' (fig is a kind of fruit).
'page' becomes 'leaf' (leaf can mean a page).
'fig'+'leaf'='FIG-LEAF'

'was' acts as a link.

Can you help me to learn more?

I've seen this clue in the Sydney Morning Herald.

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