If the answer is 'yes' then from 1st October 2018 you can pay for a single adult journey, and return for free. So Goring to Wallingford is only £4 return.
Any valid railcard can be used to get this offer, including Network Cards which anyone can buy - see the national rail website for details - it could save you a good deal on rail fares too.
Just show your railcard and ask for 'Pay One Way' and you'll be charged the single fare for a return journey.
PLEASE NOTE: for a limited time following the coronavirus lockdowns, we have introduced a special fare structure, and in conjunction with this ANYONE who buys a single ticket can return free the same day.