Someone did an updated study on it and I'm pretty sure there is evidence for it. The original article (I believe it was some study from the 1980's taht everyone references when saying there is no hot hand) on it was flawed because it didnt take into account quality of shot. A lot of players get hot, then they take bad shots.Is there evidence of that, though? Aside from your feelings? That's what math and statistics is about. It's a simple enough question: does someone's likelihood of making the next shot increase when he has made a previous shot (or two previous shots, etc.)? And I'm with Siro--there's no evidence that it does.
It's also just common sense.
Do you believe confidence has any affect on shooting? Do you believe hitting multiple shots in a row increases your confidence?
Edit: I found it. https://www.thecut.com/2016/08/how-researchers-discovered-the-basketball-hot-hand.html
http://www.espn.com/nba/story/_/page/presents-19573519/heating-fire-klay-thompson-truth-hot-hand-nba
Those are two different recent stories on studies.
The ESPN one includes a study on 3-point contest and the hot-hand.