Its usually about 30 days from the mating until the laying with a veiled. However, it depends somewhat on where she was in the cycle when she mated....so the best thing is to have a container in the cage where the female can dig to let you know she's ready and then she can be moved to the bigger bin when she is intent. The smallest the container in the cage should be is (when empty) large enough for the chameleon to fit into with a couple of inches to spare on all sides including above and below. It should be filled about 3/4 full with washed playsand.
Once the female is digging, don't let her see you watching her or she will abandon the hole. If it happens often enough it can push the female towards eggbinding.
The female may dig several test holes but should settle on one eventually and continue to dig it until she's satisfied with it. She should then turn around bum down (usually in the evening) and lay the eggs, fill the hole in and tamp it down. She should then return to the branches...at which time you can dig up the eggs carefully. They can be moved (trying not to turn them while you are doing so) to a container that you have prepared ahead of time.
The containers I use are shoebox sized tupperware-type containers. I punch two very very tiny holes in the lid, fill the container about half full of slightly moist vermiculite, make small depressions in rows about 1" apart in all directions and place the eggs in the container and put the lid back on.
To test the moisture of the (coarse) vermiculite, take a fist full of it and squeeze it....if no more than a couple of drops of water come out, then its right.
There will be moisture beads form inside the container on the lid and sides of it...this is fine.
I check every few days at first just to make sure the eggs are okay and to remove any that are definitely not good. I get the lid off and on again as quickly as possible.
The eggs should be incubated in a dark place at about 76F.
Good luck!