Things that extends net.rim.device.api.ui.Manager (like a VerticalFieldManager) can have style bits set in the constructor that specify which type(s) of scrolling you want and whether or not the scrollbars (arrows) should be displayed. Put your Field into a manager that has scrolling enabled and set the manager for the screen You need to set the manager containing the component/field that is too large for the screen to have scrolling enabled AND scrollbars drawn to see scroll arrows.
The style bits you want to set are: Manager.VERTICAL_SCROLL | Manager.VERTICAL_SCROLLBAR
If your UI is built on top of the blackberry classes MainScreen or FullScreen, you can use the constructor taking an argument of type long to set the style bits: MainScreen(long style)
could be called as MainScreen(Manager.VERTICAL_SCROLL | Manager.VERTICAL_SCROLLBAR);
to set the style bits for the screen to include scrolling and vertical scroll indicator arrows.
There is an occasional issue that FieldManagers that are fixed size will sometimes not show scroll arrows (but they'll still scroll). See Blackberry VerticalFieldManager with fixed size : Scroll issue if you are concerned about that issue.