With a pool cover that keeps out UV rays, the chlorine won't breakdown from sunlight. In cooler water temperatures of 60F, there won't be much algae growth and all chemical reactions are slowed down significantly including chlorine's oxidation of organics. So it is not unusual to measure no chlorine loss over a few days. When my pool is closed with an opaque cover and when the water temp is 55F or lower, the chlorine usage is less than 0.4 ppm FC per week so probably isn't even measurable over a few days.
Now that my pool is up to 85-88F, even with the opaque cover I see chlorine usage of around 0.5 - 0.7 ppm FC per day (at around 3 ppm FC with 20-30 ppm CYA) and that's likely to be prevention of algae and oxidation of organics that get into the pool since we do use it a few times a week (and obviously have it uncovered for a few hours when we use it so sunlight breakdown is also a part of the chlorine loss).
Your chlorine level is fine for when the pool warms up. 5 ppm FC at 60 ppm CYA is a good level to maintain as a minimum so it might need to be higher (perhaps 7 ppm FC) at times during heavier use so you end up with 5 ppm FC the next time you add chlorine.
Richard
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