Note: I’m not asking for legal advice. Rather, it’s a thing in some countries (like Japan or Indonesia) as I recall watching a video depicting an Australian tourist in Indonesia witnessesing people pursuing the phone snatcher by ganging up on him in which they eventually caught the dude & undercover cops managed to arrest him. Now, the question remains: are people in the US allowed to conduct a citizens arrest in the US?
I imagine this is uncommon because they’d end up being shot in the US.
And if the police didn’t shoot them then the criminal they are trying to pursue will. It’s probably not worth the risk.
It’s uncommon because if you get the law wrong you are committing a crime. Very few of us are lawyers.