From Longman Dictionary of Contemporary Englishlick your lipslick your lips (also lick your chops American English)ENTHUSIASTICEXCITED to feel eager and excited because you are expecting to get something good Scottish rugby fans are licking their lips in anticipation. → lick
Examples from the Corpus
lick your lips• Digby could almost hear the commentators licking their lips.• A rare, special smell that should have had her licking her lips and counting the hours until lunch.• Plummer licked his lips and frowned.• He licked his lips and looked at my laughing mouth.• She licked her lips and read fast.• The other licks his lips, and stares at Slothrop.• He bared his teeth and licked his lips, as Blackberry had done before the dead hedgehog on the road. 