I was flipping through some sensory type magazines which are posted in the pages section above and found some other ideas for using your lycra provided you just tied knots to hang it up.
One thing is to take it and open it up. Put it around your child's shoulders and bring to the front and tie a knot near his or her feet area. The allow them to strech. I didn't think about this much until I saw my son pulling his body into his shirts until he couldn't fit anymore of himself in it. He needed to be squeezed in that way. So instead of him ruining and stretching out his shirts this was another option. (I'm going to see if I can get a picture of this with my son's face blurred out.)