Whenever I have
to use my reciprocating saw to remove toilet bolts or extract a stubborn faucet
due to the nuts having corroded into a single unit with the shanks, I found
that it pays to gently work as much clearance as you can get with pliers,
screwdrivers, etc., before pulling out the recip saw.
After I obtain the clearance I need, I
insert a thin pad of rubber gasket material between the sink or toilet surface
and the saw blade. The result is that I don’t risk damaging the porcelain or
metal finish on the fixtures and the gasket material actually “grips” the blade
and makes it less likely to jump away from contact with the components that
need removing.