Take this as you will.
I'm a former Army Medic, EMT-I, and have worked in the medical field for 19 or so years. When I worked at an Urgent Care Clinic if we got a patient with a laceration to the bone we would send them to the ER. Reason being was for better imaging studies to make sure nothing important was cut and no chipping to the bone. A prescription for Antibiotics is given the majority of the time because of the risk of a bone infection.
Just something to think about for the next time.
As for now I'd just recommend you watch for any signs of infection (redness, streaking, discharge, swelling, pain etc). If you start to experience any of that go see a Doc. Also any signs of nerve/tendon damage (numbness, tingling, loss of range of motion, pain with movement, etc) go see a Doc.
Re: Superglue for wounds
It works, but it does contain toxic chemicals and should not be used in deep cuts - only applied across the outer edges of the cut. Dermabond and other medical grade glues are essentially non-toxic super glue. Even then, the stuff is still only applied along the outer edges of a laceration. Also avoid using Gorilla Glue. Gorilla Glue expands as it hardens to fill in cracks - not the best stuff for a cut. How do I know? I have a scar on my middle finger tip from using it
Wife left a pointy bread knife in the sudsy sink water an did not tell me when I went to wash the stuff.