It is true that local ordinances may prevail, and also State tariffs may dictate how the lines are run. In general, the power utility writes easements that also include the other utilities such as telephone and cable.
My experience has been that when a utility writes an easement to allow access to a meter, they write it so broadly that it gives them the right to cross that property and service other properties. By doing so, they also gain that right for any other utility. Usually that easement gives them the right to trim any obstruction.
So, if the utilities have an easement allowing them to cross your neighbor's property to service yours, then they probably have the right to trim any obstruction. You, do not have that right unless the offending limb is over your property.
I would say that the cable company is responsible, either because they have the right through easement, or if they have no easement across your neighbor's property, they should move the line.
I would call the power utility and ask if they have an easement on your neighbor's property; get a copy and see what it says.