What does a "Specialty Contractor License" mean to a customer?

[Wayne P. Schoenberger Jr.]

If you are in the market for anything construction and you're on the path of finding the right contractor to perform and complete your project, whether that is (i.e. electrical, plumbing, specialty contractor, concrete etc.) ...and lets say you find the contractor you're looking for. You see their work is good and they have a professional online presence. Further you make an appointment with them. They show you their credentials and their "contractors license". How do you feel about them being a licensed contractor? What does a contractor license mean to you as a consumer?