Question
When I pruned a rose I stuck a piece of it in the ground and it has grown amazingly up to be a nice growing plant. Only problem is in 2 seasons it does not produce buds. Now, I did just read that it might need more sun, so I might try and transplant it and see it that works. BUT, is there a chance that the part I cut off the old bush and stuck in the ground that grew might not ever have the "correct parts or genes" transplanted  or whatever in it to bud. As opposed to if I had moved the whole plant?  Crazy thought but I am an experimental gardener so I am just making a big guess as to why it didn't bloom.  
Thanks for listening to my crazy idea :)
PS Do you know how to get transplanted honeysuckle cuttings to grow-not neccessarily from root?

Answer
You are probably correct in that your rose cutting is not getting enough sunshine on it. A rose that has just been planted or is grown from a cutting, will need at least 6 hours of full sun on it. There is another reason why it hasn't bloomed and that is it is making new growth at the expense of flowering. Flowering takes the most energy and some roses will not bloom until three years old. They need to get enough greenery made to support the blooms.
Here is how to take honeysuckle cuttings.
http://www.bbc.co.uk/gardening/plants/plantprofile_honeysuckle.shtml