If you are jungle, don't go up and chase him around wasting your time. That is what Singed wants you to do, as you are no longer applying pressure to any other lanes while all he cares about is pushing top lane. Obviously if you are in the neighborhood and see an easy gank/kill opportunity take it though.
If you are top just farm and outscale him then help the rest of your team, accept you will probably lose your tower before his.
If you are mid/bot hope your top/jungle follows the advice I just gave so Singed doesn't get to a point where he made your top useless and the game very difficult to turn around.