A properly-adjusted FD should eliminate any chance of dropping a chain on the inside of your small ring. There are devices that you can attach to be 100% safe against this also.

Chain suck primarily occurs on mtn bikes due to the excessive grime and gunk that you can pull up on the trail. I've never heard of it being described as the chain being jammed between the chain rings and frame. This is more of a misadjustment. Chain suck is when the chain tries to wrap itself around your rear cog due to not being properly released from the drivetrain - again primarily due to the links getting as gunked up.