I lived in Dubai for 2 years, but before I was diagnosed.
you should be absolutely fine, Dubai airport is one of the busiest transit hubs in the world, so they will see people with pumps often.
The staff and security personnel are usually fine. I would just make sure you have a letter from the hospital detailing what medicines and equipment you are carrying and why, as well as keeping meds in original packaging.
The only rule to be careful of is that you cannot bring more than 3 months supply of any medicine into the country, so just a heads up if you are taking lots with you for a long trip, as this could land you in trouble.
you can also phone the UAE embassy in your home country, they are normally pretty helpful