This article lists the most commonly used shorthand in discussing e-cigarettes and vaping. A handy guide to help the newbie learn the lingo ;)

E-cig - Electronic Cigarette
PV - Personal Vaporizer (e-cig)
Atty - Atomizer
Cart - Cartridge
Bat - Battery
E-juice, E-Liquid, Juice - the liquid nicotine with which you fill your cartridges
Filler - The fiber/fabric found inside your cartridge that holds e-liquid

eVape - Australian ownd and run supplier of vaping products

Nic - Nicotine.
Analog - Regular tobacco cigarette
Mod - A homemade DIY e-cig device, normally a battery replacement
Pull - The act of sucking on the mouthpiece to pull the vapor into your mouth
TH - Throat Hit (The tingling sensation in the back of your throat)
Vapor - The "smoke" emitted from an e-cigarette
Vape, Vaping - The use of an e-cigarette (similar to the term "smoking" when referring to an analog)
Topping Off - Adding a few drops of e-liquid into your current cartridge
Dripping - Vaping by adding a few drops of e-liquid directly into the atomizer (instead of using a cartridge)
Dipping - Sticking the bridge of the atomizer in e-liquid (a less common alternative to dripping that is not suitable for all e-cig models)

PCC - Personal (Portable) Charging Case
PT - PassThrough - a cabled 'battery' (usually from a USB socket)
3-Piece - 3 part e-cigarette. Battery, Atomizer, and Cartridge
2-Piece / Disposable - 2 part e-cigarette. The Battery and a "cartomizer"
Cartomizer - Has an atomizer built into the cartridge; disposable
CutOff - Refers to how long the battery will activate the atomizer before shutting down (a safety measure to protect the battery and atomizer from overheating)
mAh - A measure of battery capacity (how long it will last between charges)

PG - Propylene Glycol
VG - Vegetable Glycerin(e)
PEG - PolylEthylene Glycol