Continually change variable as an object is moved anywhere in window

Sounds like an interesting challenge. Can you provide some more details on what exactly you are trying to achieve?

With GSAP and the onUpdate functionality of it you can do that.
Here you see a sample.
https://360.articulate.com/review/content/50965c8d-f764-4528-b4a5-a6a4b01a301e/review

Each tick of the animation a variable gets a random number between 1-100. Each second the complete GSAP animation refreshes itself and randomizes all parameters.

Here is the storyline showing how.

Maybe I misread, but I understood "an object is moved anywhere in window" to mean "an object is dragged with the mouse anywhere in window".