How often should I be screened for recurrent cancer?

It depends. This really depends on the type of cancer, stage of cancer, and treatment you've received. There is no one sized fits all answer to this. You should speak with your doctor about this. If you want to look into it yourself i would suggest you consult with the national comprehensive cancer network guidelines (www.Nccn.Org).
Cancer follow up. Ajohnson, this a tricky question, as it depends on several factors, including but not limited to what type of cancer it was, what was the original extent and treatment of the tumor. This is definitely something you should discuss with your oncologist or primary doctor.