Amazon announces new Alexa devices (Echo Dot, Echo Input, Echo Plus, Echo Sub, Amazon Smart Plug, Amazonbasics Microwave, Echo Wall Clock, Alexa Guard, Ring Camera, Echo Show, Alexa recast, Echo Auto) (September 2018)

It’s a Wi-Fi plug— there is no direct integration with SmartThings.

What you could do is create a virtual contacts sensor with switch capabilities and then use that to turn the Amazon plug on and off via and Amazon routine. It’s a little kludgy, but it should work.