Cleaned a 24" Benq monitor I bagged at a boot sale(!) yesterday - thread below somewhere- with a damp lint free cloth as advised and it worked wonders, it's come up very nicely.
Don't use any kind of polish, my other half has a nicely ruined 50" TV that she cleaned with Mr Sheen, tbh the picture looks fine but it's a streaky mess when switched off and looks awful.