An example of off of is telling someone to remove their hands from you, to take their hands off of you.
She placed the roast in a pan and reached for a knife to trim the fat off of it.
"GET OFF OF HER!" a voice boomed.
I'm off of here.
"I can survive for a month off of small children and animals," the vamp growled in response.
She worked tirelessly all night to clean the blood off of Jule.