I keep meaning to write up a blog on care and laying of veiled chams, but insecurity is my enemy.

There’s a great article here that explains reducing egg production.http://raisingkittytheveiledchameleon.blogspot.com/2007/12/keeping-female-veiled.html
From as young as 5-6 months, she can start producing eggs. You’ll know this as it starts with her developing her pretty colors of teal and mustard/orange and patterns as she becomes receptive for mating. Then she gets restless, searching for a boy all day. This is when you want to put a lay bin in as a permanent part of her enclosure.
At least a 12” wide and long container with some tiny drainage holes in the bottom, filled to about 6” deep with washed play sand OR 50/50 mix of play sand and organic soil makes a perfect lay bin. The substrate needs to be moist enough to hold a tunnel without collapsing. If you are super observant, you’ll be able to figure out the area that she likes to poo and can place the bin out of the line of fire.
She can be receptive for a couple of weeks. During this time she may have a decreased appetite. From approx 3 weeks after that phase ends she may lay at any time. She’ll start getting plump and maybe lumpy. Regular weighing on a gram scale is of big help to know when she is producing eggs and possibly close to laying. As she’s getting bigger, she may move less and the closer she gets to laying, the less she may want to eat. Nothing has ever interfered with my girls’ appetites - they are all different. One morning she won’t be in her usual basking spot and after hunting for her, you’ll see she’s in her bin and digging. Cover just the lower half of her enclosure and do not disturb her for anything! Nothing! Unless your house is on fire, just leave her to do her thing. If she sees anyone, she may stop digging and this could lead to becoming egg-bound. She may dig a few holes until she likes one and then she’ll dig to the bottom, turn around and lay. She’ll fully cover all of the holes and when she’s satisfied, will return to her basking branch. The whole process can take a couple of days and she may sleep in her tunnel. My girls return to their sleep spot at night. You’ll want to feed and hydrate her very well for a couple of days. Hornworms and silkworms are great at this time. Then return her to a reduced diet regimen of 3-4 feeders 3 days a week. At some point you’ll need to remove the eggs and count them. Hopefully there’s less than 30. They will rot, so toss them.
The reducing regimen can work so well that she may stop producing eggs completely. Each chameleon is of course different. One of my veiled girls hasn’t laid any eggs since Feb 2020! The other lays once a year a clutch in the mid 30’s. They can still be receptive and never lay. I’m never quite sure what is going on with my girls’ egg production and I pretty much take it as it comes. Their weights go up significantly and then back down, with no eggs laid. Colors flare up and nothing happens. If your husbandry is spot on, the likelihood of having laying problems is greatly decreased (it’s never zero).