Be aware that the flames from a gas burner can go up around a small pot if they're turned up to high, so always double check that your pot is centered and the flames are on the bottom of the pot only and not going up the sides, to prevent accidents.
For similar reasons, don't leave wooden spoons in pots or pans unattended, my mom has a couple wooden cooking spoons that have burnt divots in the handle from being left in a pan or pot.
And maybe be a touch more careful when adding liquids to oil or using spray oils, they can and will flare up, unlike an electric where you can slop oil all over the surface and be mostly fine with just some smoke.