lap up
Verb
Meaning
take up with the tongue
Source: WordNetSynonyms
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Examples
The cat lapped up the milk
the cub licked the milk from its mother's breast
Italians lap up the porcini mushrooms.
"Fans of Candace Bushnell and Jane Green will lap up David's debut novel."
Let me guess…You are voting for Sanders because you want to lap up as many freebies the rest of us will pay for?
There is really a culture divide between the people who lap up those shows and the people who question.