Search:

If you are thinking of trying to develop your weak-side shaving I suggest doing it gradually. Start with your cheek and don't move on until you feel comfortable holding the razor in the "wrong" hand....

It's not that there is anything you can't do one handed as opposed to two handed. If you don't use both hands you can most certainly shave your whole face and do a fine job. What you can't do is use...

In the long run you are probably better off to develop your off hand (non-dominant hand) shaving, but there is certainly nothing wrong with what you are describing. If you just can't get comfortable...