It sounds like probably spider mites. Either immerse or take the plant into the shower and rinse it off well with a good (lukewarm, not cold!) spray. That doesn't make the soil quite so waterlogged.
The soapy water spray is usually the ticket for most sucking insects. About 1/2 tsp of dish soap to a quart bottle of water, and be sure to spray both tops and bottoms of leaves. Repeat about twice a week for a couple of weeks and that should get any new ones that hatch out, because the eggs are often not affected by the spray.
If you do both for the first treatment, that is even better. Spray with the soap solution, then take the plant to the shower and rinse it off really well.
