Hey, uh, don't glue deep wounds. If it's going past the subcutaneous fat--and you should be able to see the fat layer if it's a deep cut, assuming you can slow the bleeding enough--use staples. You can get a cheap, disposable, sterile, pre-loaded surgical stapler off Amazon, or lots of other, more reputable sites. Glue seals everything in, and when you finally get medical attention, it's going to be a bitch to remove if the wound needs to be irrigated or debrided. Staples pop off quickly and with minimal discomfort.
If it's actually spurting/spraying blood, get a tourniquet on as high and tight as possible, pack the wound with gauze (or a t-shirt), put direct pressure on it, and get to an ER immediately, regardless of the cost.
I would not buy surgical staples off amazon. Half of everything there is a knockoff and who knows if you'll get the real stuff or some kind of imitation.
If you don't like Amazon, you can buy a stapler at nearly any veterinary supply store without being a DVM. Surgical supplies intended for human use are harder to get, even though the exact same tools are used in veterinary medicine. Like Dermabond, for instance; you can't get it for people readily, but it's a snap to get it for animals, even though it's exactly the same thing.