First, with a lead acid battery one should not charge past it's capacity. Motorcycle batteries are commonly designated with the amp-hour rating right in the "number". Like YB12AL is a 12 amp-hour battery. So with a charger putting out 1/2 amp one should not charge for any longer than 24 hours. If 1 amp charge rate, reduce that to 12 hours, etc.
Second, one should not charge at a rate beyond about 25% of the amp-hour rating. Thus a 12 amp-hour battery should not be charged at a rate above 3 amps. The lower the rate the better, it just takes longer.
These are considerations for top performance of the battery. Yes, batteries can handle more but it's not in one's best interest to do so.
A note about a CSOB(cheap son...) charger. I never throw away the little transformers that come with various electronic devices so I have collected a few over the years after the devices gave up the ghost. These come in various voltage/amp outputs but I have ended up with a few 6 VDC and a few 12VDC ones. The 12 volt ones I have range from 500mA (.5 Amp) to 1.2A. So I have cut off the plugs and added whatever ends I wanted and voila, I have 12VDC low-amp chargers. These have worked great for me but they do require supervision, these are not plug it in and come back a week later type chargers.
Ken