shuffling by splitting the pack and interweaving the two halves at their corners
a small wave on the surface of a liquid
shuffle (playing cards) by separating the deck into two parts and riffling with the thumbs so the cards intermix
stir up (water) so as to form ripples
look through a book or other written material
"He thumbed through the report"
"She leafed through the volume"
twitch or flutter
"the paper flicked"