As far as I am aware, there is no mechanism to deduct tax PAYE style from State Pension. If you have a Private and/or Works Pension, they deduct the tax from that.
In my case, before retirement, I was on "Self Assessment" (I assume because I was self employed?). after seeing the almighty mess they made of Mrs
@BoldonLad's tax after retirement, I have opted to stay on Self Assessment. It means I have the chore of completing a tax return (online) each year, but, at least I can easily double check HMRCs figures.
oops, I see Spokey beat me to it