You should not be able to freely wiggle your toes in climbing shoes. Your toes should be slightly bent downwards to give you better accuracy and the ability to apply the required amount of pressure and force from your toes when standing on small foot holds. If your toes wiggle in your shoes, you may not be able to actually apply the amount of force you need.

If your toes freely wiggle in your shoes, they may be slightly too loose, or the shoes may just not fit the shape of your foot.