clean the glue off and start over. depending on the type used you can have some good success with a steel core plastic tire lever. If it is just too tenacious then use VM&P naptha. It works much better than Acetone or rubbing alcohol. Use in a well ventilated area and keep in mind that naptha is lighter fluid.
I use a cloth rag. Turn frequently. Let it dry out completely after use.
It will not damage carbon. i have used this trick since learning about it on here and through VeloNews. It has been a godsend.