Idiom
lap up somethinglap up (something)
1.
to enjoy something very much.
My dogs lap up whatever attention I can give them.
2.
to believe what is said or written without knowing or caring if it is true.
Even if you're lying, there's always someone who will lap it up because most people want to believe you.
Etymology: based on the literal meaning of lap up (= to eat with great enthusiasm)