Is it permissible for me to name my son "Assaf"? And what is the meaning of this name?

The word "Assaf" is an intensive form ( صيغة مبالغة ) of "asf" ( العسف ), and it has multiple meanings in the language, including deviating from the path, injustice, tending to a farm, and employing a person. Some of these meanings are good; therefore, there is no impediment to naming with this name if the good meaning is intended.