It's not really "auto time set".,
This review is from: Sony ICF-C218 Clock Radio (Black) (Discontinued by Manufacturer) (Electronics)
It's not a bad alarm clock at all, and does the job quite well, particularly for such a cheap unit.
However, the advertised "AUTO TIME SET" means it has a lithium battery in it and was pre-set at the factory; you tell it what time zone you're in the first time you plug it in. It doesn't actually update the time on its own, and mine seems to gain about 10 minutes a year.