In trying to help a fellow forum user, I could find no way to limit the preview text:
However, the end point is known because it is respected in the quotes view
see Taking my Daily Readings Electronic for context
Orthodox Bishop Hilarion Alfeyev: "To be a theologian means to have experience of a personal encounter with God through prayer and worship."
Text range note attachments know their start and end positions. That is why the quotes view can display the exact text range. The link is just a start position, it does not have a defined end, and AFAIK links do not support defining an end position.