if you are snapping a 3/32, you've installed it wrong or have a faulty drivetrain component. period.

having said that, i run 1/8 for the following reasons:

1. i snapped a 3/32 (reused kmc master link. don't do it.) and now use the 1/8 to appease my girlfriend who is:
a) worried about my safety and
b) of the mistaken impression that my Monster Quads of Thunder ("monquots" for short) are powerful enough to shred anything weaker than the cables they use to hold up the golden gate bridge

2. it is a nice a subtle way to say "i'm serious about this". no cheesy spoke cards or flop-n-chopped nitto b-123s or ass-shredding un-broken brooks saddles or any of that candy-coloured hipster cruft for me. no sir. but the 1/8 chain says, in a quiet way, that i ride that damn thing. a lot.

3. i have this superstitious belief that the lack of lateral wiggle on 1/8s make them less likely to leap off the chainring and leave you drive-less.