Sip

To ooze or pass slowly through pores or other small openings, and in overly small quantities; said of liquids, etc.

"The water steadily seeped in through the thirl."

To enter or penetrate slowly; to spread or diffuse.

"Fear began to seep into the local community over the contamination of their fishpond."

To diminish or wane away slowly.

"The resistance movement against the invaders had slowly seeped away."

A small mouthful of drink

To drink slowly, small mouthfuls at a time.

To drink a small quantity.

To taste the liquor of; to drink out of.

To consume slowly — in contrast to faster consumption, in contrast to zero consumption