Agree with quarks comments.
Carbon has close to an unlimited capacity for chlorine so it is doubtful that your resin is affected.
Chlorine at the dosages expected will damage the anion resins, not the cation resins.
As Quark pointed out, you must periodically replace the carbon. Otherwise, you take the risk that the carbon will do more harm than good. As an example, microrganisms may grow in carbon and contaminate downstream processes.