Took a clipping of this plant and I was wondering what type of plant it is. I have put this clipping in water and I was wondering if this will work to propagate it or if this type of plant doesn't propagate well. Thank you!

Looks like a variegated Euonymus sp. - probably Euonymus japonicus.

Cuttings root easily, but I don't know about in a glass of water. Probably need a bit of rooting hormone and potting soil. This plant could easily be layered, if you have access to the parent plant to do so.