>>38350499"Scawzor" wouldn't be pronounced the way you want. C is pronounced softly (like an s) if it comes before an I or an E (as in citation or cede), but not if it comes before an A, O or U (as in catastrophe, cotton or cute); in the name Scizor, the "SC" is indistinguishable from an "S" (so the name is clearly made of the same sounds as "scissor," if sometimes stressed a bit differently depending on the reader), while "Scawzor" sounds like "Skawzor" (think "scape," "scald" or "scare," for example) instead of being a clever play on saw and Scizor like you intend.
Of course, I don't see any reason not to use "Sawzor." Scizor already only begins with "SC" because it comes from "scissor" - wouldn't you want to begin with just "S" to clarify that it comes from "saw?"
My pardons if some reference has just gone over my head. 
