What's the difference between growing cells in culture and cloning them?
Clones are genetically identical daughter cells from one parent cell. So when you start you culture from one cell, all new cells are clones of this cell. 
The first three cells (red, green and blue) undergo clonal expansion.



If you multiply cells in cell culture you usually start with thousands of cells, as this can be seen in the second part of the figure. These cells are not genetically identical, as they individually collect mutations. So the daughter cells of each "starter cell" (a lot of them) in the mixture are technically clones, but the whole culture is not seen as clones. See also the Wikipedia on this topic.