There are several options out that way.
CCers regularly attend the Jolly Farmer in Cookham Dean (postcode SL6 9PD if you need for the GPS). If you are going by bike, leave a little in your tank for the last half mile as the climb is a bit of a stiff one. The food and drink make it worth the trip.
Alternatively, if "pub" can be treated loosely, Station Hill Deli a few yards down the hill from Cookham Station (postcode SL6 9PD) is run by the family of a fellow CCer and has always proved an excellent place to stop for a warm brew and meal.
Plan C for a pub which has no connections with CC (which I know about at least) is the Spade Oak (postcode SL8 5PT). It's off the A4155 between Bourne End and Marlow and is rather nice.
I have a load more suggestions if none of those sound appealing.
