Hi @Neville ,
This issue may be caused by JavaScript confliction. You have to add the calendar to a web part zone which contains no rich text web parts. So, to be easier, you just need to add the calendar web part to a blank web part zone, this issue will be fixed.
I added a calendar list web part to a blank web part zone like below and it can display events normally in SharePoint Server 2013 using Chrome.
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