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Stickiness of eyes is not a common unless the conjunctiva
is inflamed. Allergic conditions can induce such inflammation resulting in the production of sticky secretions. You would need to address eye issue independently apart from allergic rhinitis
Washing the eye with luke warm saline water should take care of the sticky discharges. However a permanent cure can only be found by allergy
Desensitization process takes a long time and result is not consistent. You can consult an allergist nearby to help you through with the desensitization technique.
In the meantime, consult an ophthalmologist to rule out other causes. You may use montair along with your current nasal spray
after discussing with your treating doctor.
Hope this answers your query.