A pointy object is just what it sounds like: an object with a point, often used to poke, pierce, or sever things.
Examples of pointy objects include (but are not limited to): swords, spears, knives, skewers, pencils, pens, sharpened sticks, corkscrews, high heels, scalpels, cut-throat razors, sporks, fence posts, swordfish, etc.
Poking people with pointy objects can be very fun, but it does tend to irritate/maim/kill the pokee. Exercise caution. (Unless the pokee is a Mary Sue, in which case poke as often and as viciously as you like.)