I have experimented with cleaning pre-recorded Audio discs with soap and washing up liquid in the past, where the discs did not contain anything worth keeping anyway. From what I recall, the first few washes with typical household soap cleaned the dust and fingerprints, but after repetitive washing, the soap left a haze and disc quality scans started showing C2 errors throughout the disc, not good for audio CDs.
From what I recall, my tests with washing up liquid (including Fairy) did cause any problem, so long as the discs were rinsed and well dried off before placing back in the drive or case. Generally I only resort to cleaning with washing up liquid when someone gives me a disc (CD or DVD) with a very dirty surface.
I canâ€™t recall off hand what brand of soap I used, but then again, it was around 6 to 7 years ago when I experimented with various cleaning methods. I use to also occasionally clean my eyeglasses with soap and water when I would run out of spectacle cleaning fluid. Well, that was until one day I ruined a pair (lenses became very hazy ) after a single cleaning with particular bar of soap I used, so it goes to show that some soaps have harsh additives.
So far I havenâ€™t tried spectacle cleaning fluid for cleaning compact discs or DVDs, but after years of cleaning them with a drop of washing up liquid and water, I am happy enough to recommend this method when dry cloth based cleaning is not enough.
Finally be careful with the type of cloth you use. Paper towels, especially those made by recycled paper, can contain a tiny amount of abrasive material, which can scratch the disc surface. Some tissues such as cosmetic tissues have additives are also unsuitable for cleaning discs, so check the tissue box before using them. Generally the cheapest boxes of tissues donâ€™t contain any additives, but do check the boxes closely anyway.