Exaggerate the advice of one who loves lots of butter? (3,2,2,5)

I believe the answer is:

lay it on thick

This might be a double definition.

'exaggerate the advice of one who loves lots' is the first definition.
'lay it on thick' can be an answer for 'exaggerate' (thesaurus). I am not certain of the rest of the definition.

'butter?' is the second definition.
(thesaurus)

'of' acts as a link.

(Another definition for lay it on thick that I've seen is " Exaggerate or overemphasise something".)

I've seen this clue in The Times.

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