My duck's back toe was a little bit swollen and bloody. She was not limping, but clearly sensitive when something touched it. I left her alone, because I wanted her to be calm and not hurt it any further. The next day it still looked the same but no further swelling, so I gave it another day. The following day the swelling was gone completely, and she didn't seem to be sensitive. So it was more like a ripped off toe nail, with the associated swelling and little pain. I would have taken more action, if the swelling would have gotten worse or had any other indications that it was not getting better. The limping can be a strain, which can take a while. So monitor him closely and take immediate action if it get worse. You can try a pan with warm water to get the circulation going. This can make it heal faster. I would suggest to put chamomile tea into the warm water bath. Chamomile is antiseptic, good for the wound, and you do not have to worry if your duck drinks it. I would also add vitamins/electrolytes to the drinking water, it just strengthens the duck's immune system and may help him healing faster. If there is nothing broken then it should heal in time. Just watch out for any infections, because they can be really bad for a duck.