I don’t know that synchronicity plays any greater role in my life than it does for anyone else. I seem to notice it fairly often, and I love when it happens. It’s generally an illusion; coincidences occur all the time. Sometimes they stand out in a way seems like evidence of greater import or design.
But that is usually a matter of selection bias. Coincidence that impresses us is memorable. Cops, as well as doctors and nurses who work ER shifts, often think the full moon brings out the crazies, but the data doesn’t really support that.
Regardless, synchronicity is fun when it happens.