“Wet reckless” is an informal term for a reckless driving charge that you plead to (instead of DUI) after plea bargaining with the prosecutor. This might happen, for example if:
your BAC turned out to be exactly .08% and the prosecutor was afraid your lawyer would win at trial by citing the margin of error of the breathalyzer test.
the prosecutor’s case against you contained some other weakness that motivated the prosecutor to avoid a trial.