What do you call a pool stick?

There is no standard. Rules apply for the separate leagues that you might play in. Also remember that you can have a "cue" custom made to your specifications.

* Added - The most common dimensions for a cue are - 57 or 58 inches long; 13 or 14 mm diameter tip; butt diameter of 1 3/8 inches; weight of 19-21 ounces.