If you're not squeamish in the slighest, might I recommend this procedure:

Find a mirror and a cotton bud (Q tip for all you merkins)
Hold the eyelid out of the way with one hand, and use the cotton bud in the other to pick up the nasty thing. Dab, don't stroke. If it's wedged in perpendicularly, rather than just lying on the eye, try two cotton buds as chopsticks. Ideally you want to touch the eye just once, and lift the foreign body straight off.
Now watch everybody go eww!!!

I discovered this technique while rennovating the (now old) flat, when I tried to strip paint with a hammer. Lots of sharp paint flecs went flying everywhere. 'There is no more important safety rule, than to wear these safety glasses'