I have been working with stochastics for a short time, but they do seem to be a valuable indicator. All indicators are based on price, so it is just a different way of presenting the same data, however this different view clarifies the data somewhat compared to looking only ay price charts.
Compared to some other indicators like macd, moving averages, the stoch is definitely a faster and more sensitive indicator. As recommended by Toni Turner, I prefer to use the slow stochastic with a 14/3 setting. Related to the stoch is the Williams %R, which also gives a useful view of overbought and oversold levels.
It is always good to use other indicators and price action to confirm any signals generated by stochastics before jumping into a position. Hope this helps.
Btw, after studying quite a few charts, I must say I haven't some across the right hand crossover at all, almost all are left crossings. However some crossings are almost 'middle' crossings, as they seem to be neither left nor right. I suspect the distinction between left and right crossing is probably not really significant..