Can glue them in tight. I use this stuff from the auto stores, it has a bottle with a brush in it, and a tube of glue. This stiff WORKS like a charm! I repaired a wheel on a Rug Scrubber with this (broke from body, glued it back on, is FINE). I fixed the handle on my Dyson vacuum with it, the yellow part you press in to remove the handle; the piece came OFF the handle, button and all. I glued it back on, has been fine. I forget what it is called, but it is a small package with a bottle of liquid that has a brush in it, and a small tube.
You brush the chemical on both surfaces to be bonded. Apply the glue layer to one side, and press together, and let dry. Man this stuff works great! It's an activator, with Methyl-Keytone or something, and the tube us like a super glue. The chemical's BOND the plastic surfaces together.
I used to use Methyl-Ethel Keytone to bond plastics, it actually melts both surfaces together as one. That stuff I bought from the auto store, is almost as good, and works very well.