Perhaps you mean that a data structure like a list which implements bind is a monad.
Based on what I am reading in your overall comment, a monad is not a class of data structures which implement bind. I italicized keywords which I found problematic in your first statement, noting that you used refers to, and not is. (It is likely that I am confused, but have been missing a clear definition of a monad like "a monad is ...". If the definition involves more terms needing definitions, a topological sort would help. :-)