Technical analysis, like fundamental analysis is too broad to say that one method does or does not work. It is a matter of how it is applied in conjunction with appropriate risk control, diversification, money management etc.
From that perspective, fibonacci analysis is one of the most useful tools I can use to try and manage my risk and look for opportunities.
In this video I will look at how Fibonacci fans are used and why they can be really helpful in a trend.
Time studies are one of my favorite forms of fibonacci analysis. It can be really wild how closely they coincide with periods of market volatility. I usually compare time studies to the fundamental equivalent of listening to and planning for an earnings call.
Here is a video about what these are and how they can be used with retracements or fan lines.