This is a no-brainer to have on your workbench.
It not only unsticks your fingers to something (most likely another finger), but it softens CA glue on parts.
Used on your skin, it will dissolve the CA in about a minute. Apply on bonded skin and roll apart fingers. Once unstuck, use acetone to clean off softened CA, then wash off with soap and water.
Since cured CA is essentially acrylic plastic, anything that will dissolve CA will also soften most plastics. Care must be used when using Un-Cure on plastics.
One 1oz bottle of Un-cure debonder, by Bob Smith Industries.