What right do squatters have as far as having to leave the house dwelled in over 10 years?

The answer depends on the details and the laws in your jurisdiction. Generally, you have no claim at all if you used the premises with the permission of the owner. If you openly occupied the property continuously without the permission of the owner you may be able to bring an adverse possession action in court. You should consult with an attorney in your jurisdiction. The laws vary in different jurisdictions.