So, I was today years old when I found this out. I'd always kept a supply of glues handy for the inevitable....
Earlier this week I tried some "plastic mender" epoxy on my handlebar cover. It never set. So I dug out some JB Weld which had been good in the past, but while that set, it doesn't seem to have hardened as much as in the past. So, got googling and seems like, well, a year or two and that's about all you can expect.
So, if you're on a roll with a project and don't want to be mucking around, might want to start out with fresh glue.
Of course I could be the last person in the world to know this...