Simple:
* The dog chewed on the bone.
* She chewed her food slowly.
* He chewed his gum loudly.
Descriptive:
* The baby chewed on the rattle with glee.
* The cow chewed the cud in the field.
* The old man chewed on his pipe, lost in thought.
Figurative:
* The news chewed at his mind all day.
* The suspense chewed at my nerves.
* The thought of her leaving chewed at his heart.
Idioms:
* He chewed the fat with his friends for hours. (Meaning: chatted casually)
* She chewed him out for being late. (Meaning: scolded him)
* He chewed on the idea for a while. (Meaning: considered it carefully)
These are just a few examples. The way you use "chew" will depend on the context of your sentence and what you want to express.