The key to drying and lighting a wet Bic is;
Shake off all water.
Blow into the top really hard to blow out the excess water.
NOW HERE IS THE TRICK; run the sparker wheel on your pant leg several times quickly without pushing the fuel release.
The lighter will now light.
This works 100% within 2 minutes for me.
Run one under the faucet at home and try it out.
Billy