An argument can be logically complete, leaving no way to get around it. If it is, we can say that it is "tight." If it isn't, we can say "there are holes in that argument." And thus, we can also say "that argument won't hold water."
For example, consider this reasoning:
a) All dogs have four legs.
b) This animal has four legs.
c) Therefore, this animal must be a dog.
That argument has a hole. The hole is that the animal could be a horse, which also has four legs. That argument doesn't hold water.