Discover dog, one day, lying about (3,2)

I believe the answer is:

dig up

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'discover' is the definition.
(I've seen this before)

'dog one day lying about' is the wordplay.
'dog' becomes 'pug' (pug is a kind of dog).
'one day lying' becomes 'id' (I am not sure about this - if you are sure you should believe this answer much more).
'about' shows that the letters should be reversed in order.
'pug'+'id'='pugid'
'pugid' backwards is 'DIG UP'.

Can you help me to learn more?

(Other definitions for dig up that I've seen before include "Find" , "Excavate - discover" , "Uncover (something hidden)" , "Exhume" , "Disinter" .)

I've seen this clue in The Independent.

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