This evening I used a paperclip to purge the air and liquid from the Clipper. I held the Clipper rightside up, pushed the paperclip wire right into the refill hole and liquid spurted out. I did the same thing with it upside down.
Next I set the lighter's switch all the way to the right, the smallest flame size setting. I read that you should do this to better refill a lighter.
Then I pumped the Butane can like
@daveinlax suggested, holding it under my arm while putting the Clipper in the Freezer for 15 minutes.
Then I held the Clipper upside down and put the Butane nozzle directly down into the refill hole and counted to 6. That seemed to go fine. Then I tried to refilled it the same way for another six seconds but liquid started fizzing out quickly and the Clipper's black rubber refill hole ring jumped out when I pulled out the metal nozzle. I reinserted the little ring, but the tiny metal refill pipe inside of it looked alittle uneven.
Then I refilled the Clipper again with the plastic adaptor on and the adaptor made the nozzle fit better.
After all of this, finally the Clipper has a normal size flame and has been refilled.
Thanks to everyone for your help. These were good tips, especially the freezer and arm pump method.