I have some difficulty with understanding no-cloning theorem. Simply speaking, according to the theorem, it is not possible to copy a quantum state.
On the other hand, CNOT gate can be used as so-called fan-out gate which purpose is to copy one qubit to another one, previously in state $|0\rangle$.
It seems that these two facts negate each other.
My question: How is no-cloning theorem compatible with the fact that fan-out gate works?