Just a thought here...
As some of you may know, the brunt of my work is done in the Power Transmission industry, and I have done ALOT of work with concrete, in fact my (former) company owned a fleet of drum mixers, mobile mixers, and concrete batch plants.
To clean the trucks, especially the mobile mixers, we used muriatic acid. It literally eats concrete. We would spray it on the really messed up trucks, let it sit overnight, and the next morning, hose off the hardened concrete. It will eat metal and skin/flesh/tendons/leather too, but for some reason it doesnt eat plastic. Maybe because plastic is non-organic.
Maybe if you find yourself in a bind, you could saw into the spar as close to the concrete as possible without mangling your chain, and then use a hammer drill to make some holes and fill them with muriatic acid. Since the tree is organic too (like concrete, cause the aggregates and cements in concrete contains carbons) it might eat away at the stump as well, but I have never tried it.
It might work, it might not. It might take a month for it to eat a large chunk of concrete, but I know it does eat concrete up...
Just a thought,
T