7/64" Amsteel Blue is rated at 1600#. Make it into a whoopie sling and it derates to to 960# (60%).
200# person in hammock with typical 30deg suspension angle will put 200# on the suspension. So now we're below a 5:1 safety factor. I wouldn't climb cliffs with those numbers but, for the moment, I'm feeling safe in a hammock.
Reduce the angle by just 10deg and the same person puts 300# on the suspension. Now we're just a bit better than 3:1 safety.
The big unknown is the dynamic loading, which is only exacerbated by using a line with almost not stretch. Lines which stretch will significantly reduce shock loading. Fortunately there will be some stretch in the hammock material.
Yet another chart: