Underwater welding is taught at comercial diving schools or military diving schools.
Rule one is don't get between ground and work. Diver checks that welding current is off before changing rod by tapping electrode on work. Diver uses specific phone procedures to have topside turn on or off welding current to diver.
Diver was always in dry suit with dry glove. Now days diver is in dry suit and glove is often wet suit glove with no holes. (get real) They use latex rubber glove under wetsuit glove. Much lighter welding lens is used underwater depending on water clairity. Shade 7 to 9 is normal. Normally use special welding lens holder for diving helmet but welding lens can be stuck to diving helmet faceplate with bead of grease.
When u/w welding was used mainly for ship salvage they used 1/4" rod. That caused loss of strength and ductility. Now underwater welding is common in oil industry and certified welds are required. They use thinner rods with multiple passes each added pass heat treats preceding pass so weld isn't as brittle.
Welding rods are water proofed with electrical tape, epoxy or plastic paint.
Diver has minimum rods to keep them dry.
No AC welding current can be used.
DC electrode negitive is normally used.
Have to vent explosive gases produced by welding current u/w.
Welding in dry chamber has many of same problems and more. Welder in chamber still uses diving gear.
Very hard to do good welds.
http://www.machinist.org/army_welding/Ch12.htm