mop, mop up, wipe up - to wash or wipe with or as if with a mop; "Mop the hallway now"; "He mopped her forehead with a towel"

blot - dry (ink) with blotting paper

sponge up - absorb as if with a sponge; "sponge up the spilled milk on the coounter"

immerse, plunge - cause to be immersed; "The professor plunged his students into the study of the Italian text"

focus, pore, rivet, center, centre, concentrate - direct one's attention on something; "Please focus on your studies and not on your hobbies"

drink in, drink - be fascinated or spell-bound by; pay close attention to; "The mother drinks in every word of her son on the stage"