If one tries to use switch to interrupt current through an inductive load, the electrons will do whatever they have to do to keep flowing for a little while. If they have to jump through the air between the switch contacts, that's what they'll do. If the electrons have to work hard to keep flowing, they'll slow down pretty quickly, but they don't stop instantly.
If one has a circuit with two thousand of watts of light bulbs and a small 5W induction motor fan, the current flowing through the fan won't want to stop instantly, but the light bulbs will provide a pretty decent path for it. A little current may try to jump the switch, but not enough to do any damage.
On the other hand, suppose one plugs in a device that acts like a pure 10mH inductor in parallel with a one-watt light bulb. The inductor would draw tens of amps, and the light bulb, 10mA. If the breaker tries to open at a point when the inductor was drawing 40 amps, then 40 amps would have to keep flowing, at least for a little while. A one-watt light bulb isn't going to let 40 amps flow through very easily; the switch is apt to be a much easier path.
The big concern with the breaker is not to use it to interrupt loads which are primarily inductive. If a load is roughly half-inductive and half-resistive, the voltage required for the current that was flowing through the inductor to instead flow through the resistor will be roughly the amount that was required to push that same amount of current through when the circuit was powered on, i.e. the supply voltage.
Note, btw, that a breaker will be able to interrupt a combination of an 5A inductive load and a 15A resistive load far more easily than it could interrupt a 5A inductive load with no resistive load. If a breaker will only be opening in case of overload condition, a 15A breaker might reasonably-safely guard a 5A inductive load, if one could be reasonably certain that any other loads would be resistive. If there's a reason for the breaker to trip, that would mean there was enough resistive load to absorb the energy; if there isn't enough resistive load, the breaker shouldn't trip. I wouldn't want to rely upon things working so smoothly (e.g. someone might use some other switch to disconnect a big resistive load just as the breaker is tripping) but they should mostly be okay.