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With any sick chameleon, it is always a good idea to start by checking that their environment and husbandry are proper for their species. Taking a physical measurement of the temperature gradient within the enclosure with a reliable thermometer and measuring humidity with a hygrometer are a good idea. Making sure the UVB bulb is appropriate for the size of the space and has been changed regularly. Even if they are still producing visible light, UVB bulbs have a limited lifespan and need to be changed every 6-12 months, depending upon bulb type. Making sure diet is varied and the insects have been gut loaded with a nutritious gut-loading diet as well as dusted regularly with calcium and multivitamin powder. Therefore, I am attaching a chameleon care (husbandry) reference sheet that I put together. Please review it at your convenience and let me know if you have any questions.
For example, if the environmental temperatures are too low or too high, since chameleons are cold-blooded, this will negatively affect their metabolism, appetite, digestion and immune function. So start by checking the temperature gradient in the enclosure and, if it's outside their ideal range, adjust your basking light distance from the enclosure (closer for warmer, farther away for cooler) or change the wattage of the bulb (higher for warmer temps, lower for cooler temps) so you are achieving the proper environmental temperatures.
-For a veiled chameleon, you'll need to maintain a temperature gradient of 72-80°F (22.2-26.7C) with a focal basking spot that reaches 85-95°F (29.4-35C). They do not tolerate warm temperatures well, so do not keep the main portion of the enclosure above 84F (29C) for any length of time (though providing a focal basking spot is recommended). You should provide a drop in temperature at night that ranges from 65°F (18.5C) to the low to mid 70s followed by asking to a warm basking spot in the morning. Chameleons require higher humidity than other lizards, 50-60% during the day but even higher, up to 80% at night (it will naturally rise as the temperature drops at night).
In the meantime, I will give you some information about what may be causing these signs, a care sheet with recommendations about environment and diet as some common medical conditions are unintentionally caused by improper husbandry (such as improper temperatures, humidity, UVB lighting or calcium and vitamin supplementation) and some suggestions for home care and support of your ill chameleon while you are awaiting a visit to the veterinarian.