Any piece that breaks off something is a potential splinter that can end up in your body somewhere.
Many times you will get a small splinter in your hand, that really does not hurt and you either do not even know about it or you think to just ignore it, since it is not sore, but it can become infected, so it is better to remove the splinter right away before the skin has time or grow over it or it gets infected.
Sometimes the splinter is too deep to remove with your nails and just pull it out and you will need to use a needle and some tweezers. It is also much easier to ask somebody to help you, it will be easier for them to get the splinter out than you twisting your hand and finger to get the right angle.
Splinters come in all shapes and sizes and when it is a small one stuck in your hand or foot, it will be easy to remove most of the time, but when it is a very big piece, that is embedded deep in your body or the area is bleeding a lot you would rather want to go to the doctor - the splinter could have damaged something and it is not always wise just to pull it out.
If you get a splinter in your eye, do not wait. Go to the hospital straight away.
Make sure if you walk around outside that you wear shoes, especially if you have to walk over a wooden patio or deck or on rock. Broken glass can also cause splinters, so if you are at a party and somebody breaks a glass, make sure that all the small parts are swept up or out of the way and nobody walks barefoot.