Tobacco and vaping products on a plane
Separate tobacco from the device
At a US checkpoint, TSA lists cigarettes, cigars, dry tobacco and empty tobacco pipes as possible in both carry-on and checked baggage. Keep tobacco dry and protect cigars or a fragile pipe from being crushed. A lighter, cigar cutter, vaping liquid or battery is a separate packing decision. Check the actual components you are taking rather than treating them as one tobacco item. See TSA's item list.
Keep the vape and spare cells with you
The FAA requires battery-powered e-cigarettes and vaping devices to stay on your person or in carry-on baggage, with effective protection against accidental activation. Spare lithium batteries also belong in the cabin and need individual protection against short circuits. If your carry-on bag is checked at the gate, remove the e-cigarette and spare cells first. The FAA does not permit recharging these devices or their batteries on board.
Liquids and arrival rules
Refill liquid follows the US checkpoint rule for liquids when carried in the cabin; check the bottle against the liquids and containers guide. Lighters and lighter fuel have their own dangerous-goods rules, and airline conditions may add restrictions. Screening permission does not determine customs allowances or whether vaping products may be imported at your destination. Check those rules for the actual route, including any connection outside the US.