Gel polish peeling or chipping might be the result of incorrectly curing your polish. If you’re applying thick layers of polish, make sure you’re curing your nails for long enough so the polish completely hardens. You should also cap the free edges of your nails when applying the polish, which can help to prevent peeling.
Incorrect prep of the nails can also cause peeling and chipping. Make sure you spend time on your prep and don't get any gel polish on the skin – if you do, remove it before curing.