Answered by ASC1951. There is some statistical evidence, but we're only talking of 'risks' though.
I must have had a high cholesterol reading at the time I was started (can't remember what it was - and in those days I was a meat-eater anyway) - and cholesterol comes from lots of things besides meat.
Anyway I'm on a fairly minimal dose which my doctor wants me to continue, and my cholesterols are now acceptably low and stable. I think that people on higher doses, or on certain types of statins, do need to be careful about grapefruit.