The figure contains the 'SELECTIONTYPE' property which changes depending up on the type of click and ENABLE property of the particular UICONTROL/ figure object.
Detailed description of values that this property can take can be found at the following link in the documentation:
In your GUI, create cases in the BUTTONDOWNFCN of the UICONTROL/FIGURE OBJECT based on the value of 'SELECTIONTYPE' that you desire so that you can place code for action after left or right clicks in the appropriate case.
I have attached an example to demonstrate this behavior, look at the BUTTONDOWNFCN of the AXES. Here the figure does not fire the action for left click on a right click event.
I have also attached an example that demonstrates how to do this for other objects, such as a line object.
