I guess I'm gonna wade in on this one...
First: The Three Laws of Pre-hospital Care
1. All bleeding eventually stops.
2. All patients eventually die.
3. If you drop the baby, pick it up!
Now, on to wound care.
The Boy Scouts really did have it right: Direct pressure, elevation, etc, is still the mainstay of bleeding control.
There are a zillion bandages out there, from Maxipads (which do work great!) to Special trauma dressings. Bottom line, if your cut needs those, you probably need a doctor!
For your run of the mill, "I got careless (silly, or stupid) with my sharp toy" cuts, almost any tight bandage will seal em up.
"Dermabond" is the 3M trade name for surgical glue used to seal wounds. It is a far less toxic cousin to super glue. It is great stuff, but expensive, requires a prescription, and a bit of expertice to use (I will admit to having glued myself to a couple of patients before I got the hang of it

)
I have used superglue in a pinch, but it really doesn't hold as well. Nonetheless, If you do use it, use several light coats over the wound rather than trying to goop up the wound. Additionally, don't try to fill in the wound with either agent, rather, seal over the wound with the wound edges jointed together (I'll lapse into doctor-speak for a moment: Approximate the wound edges first)
Another alternative (which I prefer to dermabond or superglue) is good old fashioned tinture of Benzoin and Steri-strips. Benzoin is a great adhesive, and protects the skin. Steri-strips are a modern replacement for what grandma used to call butterfly bandages. These will close alot of wounds without the risk of problems of a "Rambo" suture job.
Finally, though neomycin allergies are out there, I've never seen one in the field or in the Emergency room... Also please clean and wash out the wound thoroughly before you close it up by any method. Wound infections ain't sexy.
Did I forget to mention Tetanus? An ugly, preventable death! Vaccinate!