All Super Glues are not the same.
"Super Glue" or Cyanoacrylate (CA) is an acrylic resin which rapidly polymerises in the presence of water. The principle component of commercial CAs (SuperGlue, Krazy Glue, Loctite) is either methy-2-cyanoacrylate or ethyl-2-cyanoacrylate ...
During the Vietnam war it was used in field surgery with good effect, however, despite the promising results it was not approved by the Unites States Food and Drug Administration due to the unknown toxicity and two significant side effects during the polymerization process:
The curing process creates an exothermic reaction (heat) which can cause further tissue damage.
The process releases cyanoacetate and formaldehyde - both irritants to the eyes, nose, throat and lungs.
Medical Glue
To overcome these harmful issues, new CAs were developed with the express purpose of use in surgery. 2-octyl cyanoacrylate (Derma+flex® QS™, SurgiSeal, FloraSeal and Dermabond) causes less skin irritation and increased flexibility and strength compared to traditional 'Super Glue'. In 1998 the US FDA approved 2-octyl cyanoacrylate for the closure of wounds and surgical incision and in 2001 was approved as "barrier against common bacterial microbes including certain staphylococci, pseudomonads, and Escherichia coli".
n-butyl cyanoacrylate wound adhesives are available under the trade names: LiquiBand®, Histoacryl, Indermil, GluStitch, GluShield, and Periacryl (dental adhesive)
Octyl ester, while providing a weaker bond, are more flexible. Butyl esters provide stronger bond, but are rigid.
Contraindications
Wound adhesives are generally only used on minor wounds, no more than 5cm and with straight edges. Do not attempt to use glue on the following:
wounds on the face
wounds where the skin flexes or over joints
wounds with uneven or jagged edges
deep wounds
wounds that are bleeding
infected wounds
animal bites
puncture wounds
ulcers
dirty wounds
Conclusion
Using glue to close wounds may have been pioneered 50 years ago and continually perfected clinically ever since as well as an established treatment for climbers, string musicians and garage mechanics around the world...but that doesn't mean it is a panacea.
Given the number of limitations in its use and the issues of liability we would not advise glue is used to treat others. If you choose to use it to treat yourself, do so...with care and full understanding.