Beginner Gardening: Not Eactly Sure What this is....But It Isn't Pretty, 1 by Addicted2Green

Addicted2Green wrote:
This plant was given to me by someone who couldn't possibly have watered it. There were 2 of them and I gave the bigger one to another friend of mine with more room when I re potted it. I figure this is some sort of Yuka or Corn Plant, but my real question is if I should just cut the top leafy parts of it off?

I cut quite a bit off already but thought I read that it may be best to chop it off and let it start over?