I have had a few that slipped and I'm sure a new one would have fixed that problem but why spend money when a simple application of adhesive does the job?
Did you try to clean and stretch the one you had?  Stretching the grip makes the ID smaller, and the rubber really doesn't want to slide if clean and at all resilient.  
But... New grips can be had in the $5-$10 range.
 What does glue cost?   Isn't that about the same price?
And, if it is super glue, it has a 6 month shelf life.
Of course, gluing them on does mean cutting them off and destroying to replace them, should you prefer a different style.
Do what you want, though.
Cheers,