Current flowing through your body is what kills you. But it doesn't flow through you just because it is a high-current supply (think car battery for example). It flows through you because the source voltage divided by your impedance is what controls how much current flows through you. Impedance is the general concept for resistance and basically indicates how current and voltage are related. The higher the impedance, the less current flows. Wearing rubber gloves would increase your impedance from hand to hand significantly.
So while high current does kill you, what causes it is high voltage. What is considered high? Depends on your impedance (ex. are your hands sweaty or dry?).
When dealing with high-current systems, there are safety procedures and concerns, but they are generally different than high-voltage. The systems I have dealt with are more about burns than electrocution. For example accidentally shorting out a fork lift battery can be spectacular in a bad way.
So while high current does kill you, what causes it is high voltage. What is considered high? Depends on your impedance (ex. are your hands sweaty or dry?).
When dealing with high-current systems, there are safety procedures and concerns, but they are generally different than high-voltage. The systems I have dealt with are more about burns than electrocution. For example accidentally shorting out a fork lift battery can be spectacular in a bad way.