All the London railway stations :
Cheam is on ThamesLink with some accessible access to platforms. See pictures and further accessible transport in London detail from links below.
Here is some pub history for Cheam
National Rail : ThamesLink
Accessibility friendly : There is step-free access from the main entrance to platform 2 (to Epsom) via side gate. Step-free access is from the western side of station to platform 1 (to London) via side gate. No step- free route between platforms - as the subway has 21 steps. There is one step to Ticket Office from street, but step-free access is possible via platform 2..
General description : See wiki
More comment : National Rail Map & Guide.