By Loctite do you mean it's version of "super glue"? Or something else? I've used super glue for some things, but always worry about removing the inserts if I ever needed to in future.
Yup, Loctite have their own superglue. It is a very strong superglue and I've used it on probably 4 playfields now without any issues.
This is what Marty is talking about - the 424 shown here is for gluing ABS and hard to stick plastics.
There are quite a few (Loctite) grades of this stuff depending on what exactly you are gluing. (I think 425 is general purpose from memory)
Edit: 435 is GP.
What are the inserts molded from? I assume Acrylic?