Many companies manufacture quick-setting adhesives that are strong enough -- according to one iconic ad -- to support a construction worker from a beam. Even if that is an overstatement, cyanoacrylate adhesives are definitely difficult to remove, but they have an Achilles heel -- acetone. Armed with a bottle of nail polish remover or some acetone-based paint thinner from your garage, you can quickly relegate that glue stain on your granite countertop to history. If the granite has a finish, you'll have to repair the finish after removing the glue, but you can limit the size of the repair by being careful.
Moisten a cotton swab with acetone or nail polish remover; if you're using nail polish remover, you can also use the applicator that comes in some of the bottles. Check the label to make sure the nail polish remover contains acetone. If it doesn't, it's still worth a try.
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Dab the glue stain carefully, taking care to avoid the surrounding granite as much as possible. This is most important if the granite has a finish; if it doesn't, the surface will be unaffected by the acetone, so you can spread the solvent more liberally.
Wipe off the glue with a rag while the acetone is wet. If it doesn't come off, try scrubbing it with a toothbrush or scraping it with a razor knife or putty knife. Apply more solvent and repeat as necessary.
Wash the area with soap and water after removing all the glue; then repair the finish if necessary.