Used this little trick today as a matter of fact -- when working on these old pieces of crap (said lovingly) lots of times the trim screw holes are worn out - and that leads to loose trim - or rattles etc. Yeah - you can buy "oversize screws" but who has them when you need them?
So....... I drill out the holes (even the good ones anymore and do this just as a matter of course to every hole) and shove the proper size plastic expansion anchor in the hole - then attach the trim. The screw will hold tight - and won't loosen on you!
