Ehhh, i didn't like it.
I was told it was a deep psychological anime but when i watched some of it all i got was boring and hollow characters and fanservice.
The Gore was ok but nothing i haven't seen before.
The story was interesting but it was messy, the theme was interesting though overused and easy to figure out, and again with the characters i didn't like most of them.
I saw the mc Lucy nude more than i saw her character develop.
But that's just me.
Some people really like it and i say good for them.
So give it a shot, if you don't like it then move on.
Though anime like Ergo Proxy, Ghost in the Shell, Monster do Psychological much better.
Basilisk does gore and psyco extremely well.