Note that I am not a cryptographer, and my only piece of advice is: For the sake of god, don't use hash functions not designed for cryptographic security, if you need cryptographic security. It's that simple.
I would tend to say that SipHash is, in a cryptographic context, more an "if you know what you're doing" choice, and not at all a general purpose [cryptographic] hash function.
The paper clearly states that it is not collision resistant.
What I think of as "cryptographic hash function" is a function resistent to pre-image attack, second pre-image attack, and collision generation.
Neither of those are satisfied by SipHash, and can thus not classify as a cryptographic hash function by the normal definition.