Really enjoy what one gets in Los Angeles, pet (3,2)

I believe the answer is:

lap up

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'really enjoy' is the definition.
(I've seen this in another clue)

I can't explain the rest of the clue.

(Other definitions for lap up that I've seen before include "Relish (with the tongue?)" , "of future monarch?" , "Accept eagerly" , "Delight" , "Take in avidly" .)

I've seen this clue in the Evening Standard.

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