There is something you could do with pictures, but it wouldn't be a super easy explanation. I see two ways of doing this.
One is to make several picture files showing different stages of what you think the effects should look like. You could actually have a transparent image with different black or semi-transparent strokes as the only graphics, so that when the image is placed on screen, over the text and moved around, it would appear as though the words were getting choppy, or blacking out. Really whatever effect you can come up with.
Actually altering that specific text in an menu, such as changing it's font and/or moving it around, etc. - That's all very involved and ultimately not worth the time for just that one effect.
The second route is to use PIXI to draw any number of lines or shapes with different colors and transparencies over top of the text.
If you want to go that route, PM me, it's a bit too much to explain right here, but really not altogether difficult.
The picture thing should work just fine, let me know if my description doesn't make sense.
The problem is getting it to trigger when the menu opens. From my tests, I've been able to use a common event to do something immediately before the window opens up, but any code after the menu opens stops running. That part I can't help you with