Saints, who visit fellow strugglers Sunderland next Sunday, will come under severe pressure if 18th-placed Wigan beat Swansea at the DW Stadium tonight.
Clyne said: "It just shows that the season's not over. We're not playing like it's over, we still want to get the points, we still have a target to reach. We've got to win our next two games and we have every chance. If we keep playing like we did here today we will have a chance.
"We've got belief and we've got confidence in all the players that we can do well. We are a good side and we've beaten bigger teams than we're playing against next."