Sansa Clip 8GB keeps restarting

Sounds like you got a bum unit. Dependinig on how old it is, I would A.) take (or send) it back to the dealer you bought it from, or B.) call SanDisk Tech Support about a possible RMA (Return Merchandise Authorization).

As far as Google Chrome I don’t know, but there are others here on the forum who claim to be using it, apparently with no issues.