If that is indeed the only record, of course you will not find any other record.
However, you do not say where you have looked, and do not say what information you have about his service.
If you had given specifically what you have learned about his service, possibly someone could make some useful suggestions about where to look regarding a possible pension record.
I can give you some guesses:
a) The 1840 enumeration's listing is incorrect.
b) Stephen Livings was receiving a State pension rather than a Congressional one.If he had served more than a month or so and could prove it, he almost certainly would have applied for a Congressional Pension.Look into whether South Carolina ever granted pension payments to men with the type of service your man had.
c) Stephen Livings received some compensation as a result of a Congressional "Private Claim."Some men got their Congressman to get a special bill passed in Congress awarding some payment or even a pension.The first place to look for such a thing is in the Library of Congress's American Memory web site, where bills considered on the floor of Congress are pretty well indexed.