1. To cause someone to come out of slumber or some state of unconsciousness. A noun or pronoun can be used between "roust" and "out." The sound of the cockerel in the yard rousted me out of my sleep. These smelling salts should roust the poor man out of this fainting fit.
2. To drive or force someone or an animal out of or away from some place or thing. A noun or pronoun can be used between "roust" and "out." We'd been studying so long in the library that a security guard eventually came to roust us out. I used a long pole to roust out the family of skunks that had taken up residence beneath my porch.