I just received Dysport for the first time between my eyes and my eye always feels like something is in it, is this normal?

It is not normal to feel like something is in your eye after a Dysport treatment to your forehead and crow's feet.  You really need to have your eye examined to try and determine what might be causing your issue.  I would first try contacting the physician who treated you with Dysport, so that you can be seen in person.  

This is unheard of from Dysport. You may have to consult an eye doctor to see the cause of this. Please contact a qualified provider or a board-certified physician with extensive experience in these procedures.

Dysport and Botox do not cause eye discharge or eye fullness. Some patients complain of a ful feeling in the brow but not the eye itself. Start with warm soaks and if concerned see a physician to make sure you dot have any allergic or infectious process going on.

in all probability the eye discharge and discomfort dont have much to do with injections into your glabella (between your eyebrows) - injections in to the crows feet has been shown to worsen dry eye symptoms in a small proportion of people, however. 
there are several questions here - is the eye red, irritated, itchy? perhaps this is related to an allergic conjunctivitis? usually this is bilateral, but unilateral symptoms are possible. you should probably be seen by an ophthalmologist, and not simply your injector (unless he/she happens to be an ophthalmologist) 
good luck

This is obviously not a normal problem and needs evaluation from the doctor. I suspect that this is unrelated to the injection. It sounds like a possible injection or even a foreign body in the eye. Please get evaluated.