First off, to me these are true to size.  I am normally a 7 in Nike running shoes, but after reading other comments, I ordered these in a 7.5.  The 7.5's were way too long, and just loose overall.  Ordered the 7's and they fit perfectly.
I do kickboxing once a week, and three times week I do full body HIIT style weightlifting workouts (main lift, followed by supersets).  I wanted shoes that could do both as changing shoes halfway through my workout was getting annoying.  These definitely get the job done.  They are shock absorbing enough for the HIIT workouts, but the sole is stiff and firm enough for squats and deadlifts.  I prefer squatting in these to my converse!
However, two things made me take off the stars. First, the toe-box is very narrow.  My toes can't spread at all, and I don't feel very stable when doing kickboxing or other cardio moves that require jumping because of it.  Second, they are HOT.  They do not breathe AT ALL.  Halfway through my workout I want to rip them off of my feet.  To me, this is a total deal-breaker unfortunately, so I will not be keeping them.