Its difficult to define what "safe" is. To the average person however, Bitcoin is not safe in my opinion. Fiat dwarfs bitcoins use and will always be the safer option in the foreseeable future.

For users that want to take advantage of bitcoin's advantages, whether it's sending funds around the world or trading etc, it is indeed safe enough to use. Just be wary of volatility and all transactions are absolute. No one can manage your funds for you or take liability as such.