Mesothelioma Lawyer: Chicago Illinois residents who have been diagnosed with asbestos should seek out a mesothelioma law firm. National firms put the health of patients first and simplify the legal process. Top mesothelioma lawyers have a proven track record in asbestos litigation. They understand how to win compensation and will guide you through the process from beginning to end. Statute of limitations Asbestos exposure victims are entitled to claim compensation from companies. However, claims must be filed within a specific period of time