Uses that I am aware of and can think of; I crave cheese. I have a craving for cheese. "crave for" - sorry, cannot think of a way to use it.

I do not think I would say "crave for". I have a craving for___. I have a craving for chocolate. This phrase is more temporary. It is a feeling I have right now. I crave chocolate. This sounds like a need I have every day. Off all the choices of pastries, I'll choose this doughnut because I have a craving for chocolate today. I am overweight because I crave chocolate daily.

Hey Anastasia, To be honest it is a difficult one. When you're using crave as a verb it is like to desire something strongly. For example, 'to crave attention', ' to crave a cigarette', 'I have a craving for some chocolate cake'. These are some of the examples I found when you're using 'crave for'; "Most companies and home users crave for a free version of Microsoft Office, due to its capabilities both for study and business" "When we are attached to things, we are never satisfied and always crave for more and better things" "We must show the way forward to be the best possible way of achieving the peace and stability we all crave for in that region of Europe" The way we use it changes a lot depending on the context and whether we are talking about specific stories from the past. I hope these examples I found help.