OK, this feels like an idiot question, but I'm stuck - I don't know the first thing about AppleScript. I have a .scpt file and I want to double-click it and just have it run, but instead every time I click, it opens up the AppleScript Editor. This feels like it should just be an option on the file, but I'm missing something obvious.
Please help me feel less dumb, thank you.
When you "Save As…", there'll be a "File Format:" dropdown underneath the file browser. To get a double-clickable application instead of a document, choose either "Application" or "Application Bundle"; if I recall correctly, the former is just one file, the latter is a .app bundle like most Mac applications (the bundle will also let you package other resources with your script if you need to). You can choose "Run Only" or not; if you do, you won't be able to edit your script further. (But if you're saving a copy as the application, that might be what you want.)
There's more than one way to do it; i have found this to be the simplest:
In sum, you create an Automator application and place your applescript inside it (easier than it sounds, and it's not a hack either--there's actually a specific Automator action for this). Then when you are finished, you select "File" from the menubar, next "Save As Application", then select a location. Now check there and you'll see the newly-created Automator icon (little white robot holding a grenade launcher).
You can do anything that you would ordinarily do with this application icon--double click to open, drag it to your dock, etc.
Appstorm has created an excellent step-by-step tutorial for building an applescript-embedded automator action. On the page i linked to, the tutorial author has also supplied an Automator script that you can download and use as a template.