In any egg laying species, egg binding is a medical emergency which will likely result in shock and eventual painful death if not treated. Complications include:
Egg(s) rupturing, causing peritonitis (a very serious inflammation of the abdominal cavity)
Prolapses of the cloaca +/- the reproductive tract (which can also lead to eggs rupturing and/or infection and scarring)
Ruptures to the reproductive system itself, causing bleeding leading to shock and eventual death.
I may have missed something, but one way or the other it's not a good way to go by any stretch. If you have an eggbound chameleon (or any animal, really), she needs to go to a reputable vet immediately and she may need surgical intervention if medical assistance (I.e. oxytocin, calcium gluconate, etc) isn't likely to have an effect on it's own.