I've worked in Burley, fire-cured Dark Fired, and air-cured Dark Fired. In stripping the tobacco leaves after curing (leaves left on the stalk when harvested, and the entire plant hung on curing sticks, with these types), the only reason I ever saw anyone wear gloves was to keep the hands clean, especially with fire-cured Dark fire. Fire Cured will have quite a finish to it, and will leave the hands VERY stained and sticky. The others are not so bad, but will still stain and leave sticky residue. Same thing with baling the tied leaves or baled leaves, or when putting the tied hands on the sale baskets at the auction house floors.
Never saw or heard of any instances of nicotine sickness at that end of the leaf process. With air-cured Dark Fired AND Burley, the curing sticks with the stalks/leaves (usually 5-6 stalks/plants per stick), dirt/dust and possibly some mold could be an issue, and I always hated stripping these two, or even taking it out of the barn to go to the stripping shed, even if it had been damp and the tobacco was in good "order".
But in the field, especially during the suckering process and the topping process, and even into the time to harvest by cutting the stalk at the base of the plant, I saw and heard of people having a rough time with it, because of the nicotine. It seemed to be worse during suckering and topping, before the plant was ripe for harvest. Several farmers told me that the plant stalk and leaves and suckers had a lot of nicotine on the surface at this point of the plants' life. One of my roommates got sick twice doing this type work, and ended up in a hospital one of those times, because of the nicotine. Even gloves did not help, because the plants are so large at this stage that you are brushing against leaves all day. Lots of guys wore gloves anyway, because of all the sticky gum that gets on your hands and arms while working in it, plus splinters from the sticks that the plants are hung on.
Cigar tobacco is handled differently, so I couldn't say about it. The torcedors also handle individual leaves a lot more than would happen with the types of tobacco I dealt with also, even classers in the stripping shed.
I can see where water would have made it worse, also, as it gets it into "solution" and easier to get all over the skin. Another problem with working in wet tobacco in the field is that if it has been sprayed fairly recently, the water makes it easier to get those chemicals on the worker. I once got nailed by this when we cut a field right after a summer rain that had been sprayed a week earlier. Later that night at my night job, I broke out head to toe, and had to see a doc for a shot. Also, with a lot of Burley around here, they cut and place plants on the stick, and then just leave the sticks out in the field for up to 3-4 days, to let the plants wilt and be easier to put up in curing barns (also lose some weight). If they get wet, mold can start, as well as plant decomposition. I helped put some wet Burley up in a curing barn once, and it made all of us sick from the methane fumes. I hate Burley!!!
I worked for over 7 seasons in the stuff, and it payed for college, but it was the hardest physical labor I've ever done, especially harvest. Also very enjoyable.