When you use the Hide > Show Control Handles setting (it's in the BODY actor of the figure), are you setting that to 0 or 1?  Setting to 0 should hide the control chips (that's what I'm seeing here on both LF1 and LF2). 

Also ... when you are talking about hand control chips, what you might actually be referring to are the hand BONES. Control chips are used in the face for expressions. But those extra bones in the hand, breast, and buttocks should also disappear when you set Hide > Show Control Handles to 0 (not 1).