I was wondering if 3 in 1 would be a good oil to use just a little bit to clean the chamber with a towel and then clean the inside of the barrel or muzzle!
I seriously doubt it would make a very good cleaner, especially compared to the many excellent firearm cleaning products available these days, but it won't do any damage.
As far as a firearm lubricant, there are certainly worse choices you could make. There are probably better choices too, but it's hard to be too dogmatic about that because most any decent oil that has good rust protecting qualities will do an adequate job on firearms.
I just oiled up the bolt action in the chamber of my .22 mag marlin tube feed and also the tube,I know it did some good!
The chamber and magazine of a firearm are two places that really do much better without much oil in them. You may have done some good but chances are better that you would do more good by drying the chamber and removing anything but a light sheen of oil from the inside of the magazine and the magazine spring.
Magazines generally work better with very little lubricant or even, in some cases, with no lubricant at all on the internal surfaces and spring.
The chamber of a firearm generally shouldn't have any significant amount of lubricant in it because the friction between the expanded brass case at the moment of firing and the chamber wall is part of the dynamic system that contains the pressure of holding the breech closed. Depending on the design of the firearm, introducing lubricants into the chamber can stress certain parts of the firearm.
I don't get crazy using harsh chemicals on some quest to make it completely absolutely spotless.
The best general purpose cleaner I've found so far is Hoppes Elite Gun Cleaner. It has virtually no smell and has no fumes. It is biodegradeable and there are no health cautions on the bottle whatsoever.
BreakFree Foaming Bore Cleaner is sold as being non-toxic and although there are some cautions on the container they relate to the butane propellant, not to the solvent itself. I've found it to be very effective.
"Harsh chemicals" is sort of a vague term, but I would venture to guess that very few people would feel that term applies accurately to something like Hoppes Elite Gun Cleaner or BreakFree Foaming Bore Cleaner.