It looks like a ref line. Double-click the axis and see what's in the axis settings.
A Ref line on the X axis.The real question might be how did it get there without using the dialog? Are you running this from a script? Is it always at the same value? What version of JMP? Mac or Win?
Edit: does the Time variable in the data table have any special properties? Possibly there is a way to add the ref line there. Look at the small icons near its name in the left panel of the data table, click on the one you don't recognize. (I'm guessing a bit...)
Edit 2: yes, maybe this?
The * is for properties, and the axis dialog is one of the possibilities.
Craige