I'll go get us some drinks while you two 'get better acquainted'. [=while you two talk to each other and get to know each other better]
The two actors are intimately/casually 'acquainted'. [=they know each other intimately/casually]
He 'acquainted' the new employee 'with' her duties. [=he told her about her duties]
(..) Our time does call upon's. Farewell. Within this hour, at most, I will advise you where to plant yourselves, acquaint you with the perfect spy o' the time the moment on't, for it must be done tonight, and something from the palace. Always thought that I require a clearness. And with him, (..)2015 Macbeth