Where I ride there are alot of thorns and I am using tire slime to stop the small leaks, my question is will this hurt my wheels???

 

I've been running it (or a similar brand) in mine since new. I havent had any problems with it, and have never heard any bad things about the stuff. We have a lot of thorns (hedge trees, and the like) and have yet to have a flat on either machine.
Later,