take a good look at the mites, a magnifying glass will probably help as they are usually quite small, if they have 2 dots on their backs its spider mite, if not try and get a good description of what they look like.
If it is spider mites they will build webs, so it sounds like you have spider mites, but you should confirm first.
Spider mites love warm dry conditions, they will breed.... well like mites, rasing the humidity will slow their reproduction rate, put a bowl or two of water into your room to help with this, and a good misting with water will aslo help, but don't put wet plants under a hot light, unless you like your clones well roasted!
There are a few proctucts which can help you, so a forum search for spider mite and you should get alot of threads with information.
Once this grow in complete, you will need to clean your grow room with a mild detergent / bleach solution and then rinse with water, and I mean the whole room, and all your kit, they can be a bastard to get rid of, and you have to keep on top of the problem, I had them, and it can be a nasty fight to get rid of them. I got them in flower and there is little I could do as I don't like to spray when my plants are in flower. As you have clones which are hopefully still small it might be easier to keep them clean.
You can get predator bugs (which I used) to help you, but I found these ended up just 'farming' the mites, and never completey got rid of them. A friend uses ladybirds (if ur in the UK) / Ladybugs (if ur in the US) catches them from the garden or in the house if one manages to get inside and then puts it in his grow room, seems to be helping with his problem.
If you have got mites I don't envy you one bit, I found them a nightmare, I wish you all the luck in getting rid of them, they can be tough little buggers!