[eddieh]

I just think of the 3 vertical dots as vertical ellipsis. I often use vertical ellipsis when making a list that continues. e.g.

— History of Empire and Colonialism

— History of Religion and Society

— History of Race, Gender, and Power

  ⋮

— History of War and Society

So it naturally means "there is more stuff here" to me. YMMV

[collyw]

In your context it does make sense. As a menu button it doesn't (to me at least).