If I remember my exegesis correctly (and I may be mixing things up here) "thigh" here is a euphemism for the private parts, that swearing while touching the master's privates would be the equivalent of swearing while placing one's hand on the Bible today. Nothing sexual was meant by the gesture, however.
Agreed.
But a woman wearing shorts (and thus showing her thighs) isn't sinful either.
Yes, some shorts can be very short, but how short is short?
And with this in mind, if pants cover more of a woman's body than a dress does (ones that shows her lower leg area), then why don't the Duggars wear these instead?
Women shouldn't wear mens clothing?
Godly people did in Moses time as well as in Abraham's time. Both wore robes. The point is, there was a differentiation between the robes that were worn.