Yes, the newspaper is an excellent option to clean windows. Newspapers can give you better smudge-free clean windows glass that you can't achieve using paper towels or a sponge.
The newsprint is highly absorbance that easily absolves all the residue of the cleaning solution. You won't have to push it to absorb the liquid.
Place it and slowly rub the glass of the window with it. You will get a clean, slick surface.