Welcome to the forum!
Sorry your chameleon is not well.
Handling your chameleon causes needless stress and stress can cause illness.
You should handle him as infrequently as possible, except to give him medicine.
Eye issues are fairly common cham troubles and can be caused by any of several things:
1) Infection, which can be due to injury, environmental issues, nutritional deficiencies or parasite problems
2) Malnutrition which can be caused by failing to gutload feeders or failure to feed a varied diet, improper supplementation, parasites or simply a higher need for a particular nutrient in an individual chameleon
3) Irritation--sometimes a cham's eye is irritated by something in their environment, such as too little humidity, sap from a plant or a bit of something getting into the eye (shed skin, soil particle, etc.)
The first 2 problems are best treated by a vet and even though there aren't any near you to treat reptiles, any vet can still prescribe medication for your cham.
For eye infections, usually a vet will prescribe 2 medications; one to give by mouth , such as Baytril and another to put into the eye itself--such as Tobramycin. The reason for this is that many eye infections are also sinus infections.
If parasites are the cause, then fecal testing will be needed to identify the parasites and to determine which medication or medications will be needed to kill those parasites.
For the third problem, gentle, flushing of a cham's eye with a sterile saline solution for eyes will typically clear things up, if done 2 or 3 times each day, but if there isn't substantial improvement within a day or two, it's time to see a vet.
Something like the one I linked to below is good. Read the ingredients and see if something similar is available near you. Bausch and Lomb makes one like this, too:
http://m.cvs.com/mt/www.cvs.com/sho...Sensitive-Eyes?skuId=458126&un_jtt_v_menu=exp
If there is something in your cham's environment that caused the irritation--like humidity usually being too low; or hot or cold air from heating or cooling blowing on him, it should be remedied.
There is more information on eye medications and much more in this post by Ataraxia
https://www.chameleonforums.com/eye-problems-76636/#post721388
Here is an excellent caresheet for Senegals,Gracefuls and Flapnecks which has a lot of good information, such as how often to use which supplement (too much is as bad as too little), humidity,etc.
https://www.chameleonforums.com/care/caresheets/senegal/