There are two different known weapon types that a Lamp Meister may employ:
A Lamp Meister may employ a Demon Weapon whose form is that of a Lantern. These types of Meisters usually handle the Lantern's ability to produce heat at will, with some having a handle which must be pulled to use. These Lanterns can also form a staff weapon and may be used to enable flight even like a Magical Witch Broom. Kim Diehl and Franken Stein can operate with Lanterns.
Genie Lamp Usage
A Lamp Meister may also utilize a Genie Lamp as weapon. Lamp Meisters who use Genie Lamps use the smoke emitted as a weapon and maintain a resonance with it. These Lamps are physically exhausting to use, with extended usage being able to tire out the entire body. Zubaidah and Death can operate with Genie Lamps.