A plant that is being overwatered will often first respond by wilting. This can fool a gardener, who assumes wilting is always due to underwatering, and then adds to the problem by giving the plant more water. Continuing overwatering will lead to leaf drop, yellowing of leaves and stems, and then brown spots on leaves and stems. Eventually, the plants stems will turn mushy, and the plant will collapse. Potted plants will sometimes develop a bad smell in the soil, as bacteria multiply on the decaying roots.
If it is a potted plant showing signs of overwatering, you may be able to save the plant by removing it from the pot, carefully scraping away overly-saturated soil from around the roots, then sitting the plant on a stack of newspaper or paper towels to absorb the excess moisture. Once the roots are dry, cut away any that are black or mushy, and repot the plant in fresh soil. Keep the plant away from intense light until you see signs of new growth.
It is much more difficult to save a plant that is in the ground from overwatering damage. Do not give the plant any further water, and if possible, protect it from intense sun by propping newspaper or a shade cloth over the plant. Dig out saturated soil from around the plant, being careful not to cut or damage the roots. Replace the dirt with dry potting soil. Cut off any mushy leaves or stems using a small hand pruner.
Most common houseplants prefer to dry out slightly between waterings. Touch the soil surface with a finger before watering, if it feels dry, proceed. Water the plant until you see fluid dripping from the pot's drainage holes. Do not allow pots to sit in a tray full of water, or use containers that do not have drainage holes. Many houseplants prefer higher humidity than what is found in the typical home, and will benefit from an occasional misting of their leaves with a mister bottle.