As to the original question... it's true, wet conditions exaggerate bad technique. To expound, it exaggerates fat shots (mainly). It's a leading edge digging into the ground thing... you want the bounce to hit the turf (bottom of the club)... not the leading edge. This goes for wet or dry, for the most part, unless you are trying to hit a more particular shot.
The first thing would be to make sure you don't use a club with really low bounce (some Lob wedges have really low bounce). Go with something in the 10-12 degree of bounce, which most 56 or 52's have... or open up a PW or 9 iron a little bit.
Technique-wise, make sure not to close the face too much. The more you hood the club (toe in), the more you're introducing the leading edge to dig into the ground... duff. The club should usually be square if not a little open when chipping/pitching.
As stated above... it's the same technique, wet or dry, but much more penal when it's wet. So one final thing you can do is to expect less, and aim for a little safer shot that allows more room for error if you have to. (20 ft long if a pin is just over a bunker, etc).