Please see this announcement regarding the status of JuMP on 1.0.
The development version of JuMP is working on 1.0, so if you are feeling adventurous you can try using dev JuMP. Be advised however, that it is very much still in development.
In some other good news, I am very nearly done getting JuMP 0.18 to run on 1.0, so you should have it fairly soon. If you want to track the status see this PR.