Try closing or reconfiguring all views that show detail at the level of individual class members (methods, vals and vars, basically). Specifically, that's the Structure view and the Project view when the "Show Members" option (in the "cogwheel" menu at the top right) is enabled. It is reported that maintaining these views slows the Scala plug-in appreciably.
You should also get the 9.0.4 EAP of IDEA (currently #95.538) and stay up-to-date with the Scala plug-in nightly releases. There sometimes bugs, but as a rule, quality is good and progress is sufficient to warrant doing this.
Edit:
The two views that do (or can) present information at the class member level of detail and which can slow the plug-in substantially are:
- The Structure tool window (Window -> Tool Windows -> Structure / Alt+7)
- The Project tool window (Window -> Tools Windows -> Project / Alt+1)
The Structure tool window always shows the class member level of detail, so if it's open, you're susceptible to this slow-down. The Project tool window only shows class members if you configure it to do so. The way this option is controlled is in the menu that is attached to the "cog wheel" or "gear" icon in that window's upper-right corner. The option to disable in that menu is "Show Members."