When someone or something takes up much more time than you had allocated or expected against your will.
I wanted to leave so bad, but Mike kept striking up conversations about random bullshit - I was time raped, now my entire day is gone!
Time Rapist: someone who is prone to Time Raping.
Example: Watch out for Chris, he's a Time Rapist - you'll never be able to make that appointment on time if he gets a hold of you.