You can do this manually when it is not running by right clicking on the graph, selecting Data Operations>Clear Chart, or when it is running by right clicking and selecting Clear Chart.
Programatically, you can wire a blank numerical array to the history property of the chart in 'write' mode. This can be done at the start or end of your acquisition to clear the graph for the next time the program is run. See attached example in LV 6.0.
*smiles*
Kim