Its going to have to be a big tree to have part of its structure inside the LOA and part of it outside. If it were big enough, say a 40' crown spread, there may be part of the crown outside the 30' LOA 'tube'that you can access. (or whatever the limit is for the specific voltage) As long as the wood you affect (by cutting or tieing into), or potentially affect, can't go inside the tube as a result of your work. Working underneath the primary wires makes it easier - yourself or the branches you cut can't hit the wires. I've been given the green light from hydro vegetation to work on parts of larger trees after the material inside the LOA area has been removed by CUA's.
Here there is no LOA for low voltage service wires to the house from what I understand, as long as they're not ripped out or have broken insulation you can lick them apparently.
I've talked to a WCB person about high voltage LOA and they said that if ANY part of the tree is inside, the entire tree is off limits. Period. It was hard to describe the concept of a tree growing next to high voltage being rooted next to a busy sidewalk. Can people touch the trunk? That's the aburd example, but illustrates the need to qualify.
Western Canada is behind the times - we have to use ANSI for safety regulations for climbing and pruning. There is no Canadian equivalent from what I know.