Turbinates do hypertrophy
Turbinates do hypertrophy especially in patients who have allergies. See a good surgeon for a full evaluation, history and physical to determine the cause of your "getting sick" a lot. Best regards!
Can Trimmed Turbinates Grow Back?
The soft tissue of a turbinate can "hypertrophy" again. I guess this the equivalent of grow back. However, your symptoms may be unrelated to this. See an ENT-Facial Plastic Surgeon.