What Does Itchy Nose Means, Meaning. A nose that is itchy means different things to different people. In medical context, it usually means that your nose is inflamed due to exposure to some irritants, an infection or due to dryness caused by harsh environmental conditions.tchy Runny Nose. itchy and runny. An itchy runny nose is a common sign of rhinitis. This refers to an inflammation of the nose characterized by runny nose, sneezing, and an itching nose.