The solvent for uncured epoxy is denatured alcohol. Cheap rubbing alcohol will work Ok, and things like WD-40 will also work. The denatured alcohol will clean the rsin and leave the surface free of oil and epoxy.
For cured epoxy resin, acetone is the solvent. Remove as much as possible before it cures, but any found later can be rubbed away with a cotton cloth wet with acetone. If the drip is large, try to trim the bulk away with a sharp blade ( X-atct, etc.). The resin will slowly dissolve as you work the acetone back and forth over it. Remember that it is also dissolving any other resins it is in contact with, so expect homemade MyCarta to get dulled.
Wear nitrile gloves when doing epoxy work both for cleaness reasons as well as to protect your skin from de-oiling by the solvents. Alcohol won't hurt you, but it will dry the heck out of your skin and lead to chapping and cracked skin. Acetone isn't good to get in contact with in the first place.
Wear a respirator or have good air movement and ventilation.
The biggest way to avoid getting epoxy all over the knife is to keep as much off the blade and handle as possible.
Use only the amount of epoxy as needed. use 24 HOUR CURE resin. You don't have to rush, and can take your time applying resin to tangs and down hidden tang holes.
Use nitrile gloves on both hands, use one hand only for applying the epoxy and such ( the right in my case), and the other for holding the clean parts of knife ( left in my case).
Peel off any glove with epoxy all over it, or when the left glove gets any real amount of epoxy on it.
When the epoxy has been applied and the tang is in place or the rivets are inserted and clamped, peel the gloves off and put on clean ones for the clean-up steps.
By buying the gloves in boxes of 100, I consider them the same as Kleenex .... I use one and toss it as often as I need. No need to try and get extra life at the expense of cleanliness.
TIP:
If pouring resin down a tang hole is the bane of your life, try this - Slip a hollow coffee stirr down the hole. Pour in the resin slowly. The trapped air will escape up the straw and the resin won't back up and pour all over the handle. I like the thin hard red stirs, and cut the end at a slight angle to ensure good air flow.