tern-delite provides the delite tern plugin which gives you a support for Delite.

After installing and converting your project as Tern Project, go at Tern project property, click on Tern / Modules item and select the Delite tern plugin (ECMAScript, Browser and RequireJS tern plugins must be selected too) :

Completion

After that you can benefit with Delite completion :

Web Browser

You can play with online demo which uses CodeMirror (inside Web Browser).