Is it okay to give the small child scissors before he takes off running?
Why in the world would you give a child scissors?
To cut his hair and then the paper.
It's rude and dangerous for the child if you do that. Don't and make sure they don't have any other sharp objects.
It's not dangerous. What's the worst that could happen?
It is quite dangerous and a common expression to not run with scissors. If you must give the child scissors, tell them to walk carefully, to point them towards the ground and never to run with them.