This is the 5628th most frequent Japanese word.
ざたになったことがある
"ざたになったことがある" means "having been involved in an incident or controversy."
The phrase '沙汰になったことがあります' here implies an occurrence involving the authorities, specifically the police.
昔、違法駐車が原因で警察沙汰になったことがあります。
Long ago, I had an incident with the police caused by illegal parking.
In this case, '沙汰になったことがあります' refers to being involved in legal proceedings, a court case.
その会社は不正が発覚して、裁判沙汰になったことがあります。
That company had a scandal revealed, which led to a court case.
Here, '沙汰になったことがあります' indicates a situation leading to hospital involvement or attention.