i was taught this at a young age, and found i have been experiencing this for years.
every time, whenever my left has flickered, something bad has happened within a few weeks, and also opposite with right.
i also get in parts of body, but this has had slightly softer implications, i.e. not as bad/good as eye twitches.
from what ive learnt, right is good for men, left is good for women.
i remember once Morari Bapu mentioned it in a katha, and ive heard it is written in scriptures.
a gift of bhakti??